892085376 has 256 divisors, whose sum is σ = 2981664000. Its totient is φ = 234823680.

The previous prime is 892085351. The next prime is 892085417. The reversal of 892085376 is 673580298.

It is a super-2 number, since 2×892085376² = 1591632636146122752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1711996 + ... + 1712516.

It is an arithmetic number, because the mean of its divisors is an integer number (11647125).

Almost surely, 2^892085376 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 892085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490832000).

892085376 is an abundant number, since it is smaller than the sum of its proper divisors (2089578624).

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

892085376 is a wasteful number, since it uses less digits than its factorization.

892085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 892085376 is about 29867.7983118944. The cubic root of 892085376 is about 962.6508678109.

The spelling of 892085376 in words is "eight hundred ninety-two million, eighty-five thousand, three hundred seventy-six".