8892465120 has 1440 divisors, whose sum is σ = 42547317120. Its totient is φ = 1724405760.

The previous prime is 8892465089. The next prime is 8892465151. The reversal of 8892465120 is 215642988.

8892465120 is a `hidden beast` number, since 8 + 8 + 92 + 46 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8892465089) and next prime (8892465151).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×8892465120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 132723327 + ... + 132723393.

It is an arithmetic number, because the mean of its divisors is an integer number (29546748).

Almost surely, 2^8892465120 is an apocalyptic number.

8892465120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8892465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273658560).

8892465120 is an abundant number, since it is smaller than the sum of its proper divisors (33654852000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8892465120 is a wasteful number, since it uses less digits than its factorization.

8892465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8892465120 is about 94299.8680805016. The cubic root of 8892465120 is about 2071.7661045938.

The spelling of 8892465120 in words is "eight billion, eight hundred ninety-two million, four hundred sixty-five thousand, one hundred twenty".