85700160 has 448 divisors, whose sum is σ = 375513600. Its totient is φ = 17915904.

The previous prime is 85700159. The next prime is 85700171. The reversal of 85700160 is 6100758.

85700160 = 92² + 93² + ... + 636².

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 786186 + ... + 786294.

It is an arithmetic number, because the mean of its divisors is an integer number (838200).

Almost surely, 2^85700160 is an apocalyptic number.

85700160 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 85700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187756800).

85700160 is an abundant number, since it is smaller than the sum of its proper divisors (289813440).

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

85700160 is a wasteful number, since it uses less digits than its factorization.

85700160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 85700160 is about 9257.4380905302. The cubic root of 85700160 is about 440.8869162592.

The spelling of 85700160 in words is "eighty-five million, seven hundred thousand, one hundred sixty".