85631760 has 120 divisors (see below), whose sum is σ = 300141504. Its totient is φ = 21838080.

The previous prime is 85631759. The next prime is 85631761. The reversal of 85631760 is 6713658.

It is an interprime number because it is at equal distance from previous prime (85631759) and next prime (85631761).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (85631761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13975 + ... + 19145.

Almost surely, 2^85631760 is an apocalyptic number.

85631760 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 85631760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150070752).

85631760 is an abundant number, since it is smaller than the sum of its proper divisors (214509744).

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

85631760 is a wasteful number, since it uses less digits than its factorization.

85631760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85631760 is about 9253.7430264731. The cubic root of 85631760 is about 440.7695897897.

The spelling of 85631760 in words is "eighty-five million, six hundred thirty-one thousand, seven hundred sixty".