892920960 has 384 divisors, whose sum is σ = 3341520000. Its totient is φ = 218972160.

The previous prime is 892920923. The next prime is 892920967. The reversal of 892920960 is 69029298.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (892920967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4486941 + ... + 4487139.

It is an arithmetic number, because the mean of its divisors is an integer number (8701875).

Almost surely, 2^892920960 is an apocalyptic number.

892920960 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 892920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760000).

892920960 is an abundant number, since it is smaller than the sum of its proper divisors (2448599040).

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

892920960 is a wasteful number, since it uses less digits than its factorization.

892920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 892920960 is about 29881.7830793278. The cubic root of 892920960 is about 962.9513340637.

The spelling of 892920960 in words is "eight hundred ninety-two million, nine hundred twenty thousand, nine hundred sixty".