89762640 has 160 divisors (see below), whose sum is σ = 307158912. Its totient is φ = 21683200.

The previous prime is 89762623. The next prime is 89762657. The reversal of 89762640 is 4626798.

It is an interprime number because it is at equal distance from previous prime (89762623) and next prime (89762657).

It is a junction number, because it is equal to n+sod(n) for n = 89762592 and 89762601.

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 31 ways as a sum of consecutive naturals, for example, 319300 + ... + 319580.

Almost surely, 2^89762640 is an apocalyptic number.

89762640 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 89762640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153579456).

89762640 is an abundant number, since it is smaller than the sum of its proper divisors (217396272).

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

89762640 is a wasteful number, since it uses less digits than its factorization.

89762640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 89762640 is about 9474.3147509464. The cubic root of 89762640 is about 447.7461625375.

The spelling of 89762640 in words is "eighty-nine million, seven hundred sixty-two thousand, six hundred forty".