85907360 has 192 divisors, whose sum is σ = 267079680. Its totient is φ = 25297920.

The previous prime is 85907359. The next prime is 85907383. The reversal of 85907360 is 6370958.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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, 233897 + ... + 234263.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 2^85907360 is an apocalyptic number.

85907360 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 85907360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

85907360 is an abundant number, since it is smaller than the sum of its proper divisors (181172320).

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

85907360 is a wasteful number, since it uses less digits than its factorization.

85907360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 85907360 is about 9268.6223356009. The cubic root of 85907360 is about 441.2419457263.

The spelling of 85907360 in words is "eighty-five million, nine hundred seven thousand, three hundred sixty".