85970160 has 100 divisors (see below), whose sum is σ = 298609608. Its totient is φ = 22923648.

The previous prime is 85970149. The next prime is 85970197. The reversal of 85970160 is 6107958.

85970160 is a `hidden beast` number, since 8 + 597 + 0 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154 + ... + 13113.

Almost surely, 2^85970160 is an apocalyptic number.

85970160 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 85970160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149304804).

85970160 is an abundant number, since it is smaller than the sum of its proper divisors (212639448).

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

85970160 is a wasteful number, since it uses less digits than its factorization.

85970160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13292 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 85970160 is about 9272.0094909356. The cubic root of 85970160 is about 441.3494384361.

The spelling of 85970160 in words is "eighty-five million, nine hundred seventy thousand, one hundred sixty".