892872540 has 144 divisors (see below), whose sum is σ = 3195279360. Its totient is φ = 197493120.

The previous prime is 892872523. The next prime is 892872557. The reversal of 892872540 is 45278298.

892872540 is a `hidden beast` number, since 89 + 28 + 7 + 2 + 540 = 666.

892872540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (892872523) and next prime (892872557).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27631 + ... + 50489.

It is an arithmetic number, because the mean of its divisors is an integer number (22189440).

Almost surely, 2^892872540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 892872540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597639680).

892872540 is an abundant number, since it is smaller than the sum of its proper divisors (2302406820).

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

892872540 is a wasteful number, since it uses less digits than its factorization.

892872540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22912 (or 22907 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 892872540 is about 29880.9728757281. The cubic root of 892872540 is about 962.9339279145.

The spelling of 892872540 in words is "eight hundred ninety-two million, eight hundred seventy-two thousand, five hundred forty".