892048560 has 320 divisors, whose sum is σ = 3215794176. Its totient is φ = 202752000.

The previous prime is 892048543. The next prime is 892048571. The reversal of 892048560 is 65840298.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2224360 + ... + 2224760.

Almost surely, 2^892048560 is an apocalyptic number.

892048560 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 892048560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607897088).

892048560 is an abundant number, since it is smaller than the sum of its proper divisors (2323745616).

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

892048560 is a wasteful number, since it uses less digits than its factorization.

892048560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 892048560 is about 29867.1819896019. The cubic root of 892048560 is about 962.6376248924.

The spelling of 892048560 in words is "eight hundred ninety-two million, forty-eight thousand, five hundred sixty".