85792560 has 160 divisors (see below), whose sum is σ = 306647040. Its totient is φ = 19436544.

The previous prime is 85792559. The next prime is 85792579. The reversal of 85792560 is 6529758.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 374526 + ... + 374754.

It is an arithmetic number, because the mean of its divisors is an integer number (1916544).

Almost surely, 2^85792560 is an apocalyptic number.

85792560 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 85792560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153323520).

85792560 is an abundant number, since it is smaller than the sum of its proper divisors (220854480).

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

85792560 is a wasteful number, since it uses less digits than its factorization.

85792560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 85792560 is about 9262.4273276501. The cubic root of 85792560 is about 441.0453108250.

The spelling of 85792560 in words is "eighty-five million, seven hundred ninety-two thousand, five hundred sixty".