85976640 has 280 divisors, whose sum is σ = 318650112. Its totient is φ = 21980160.

The previous prime is 85976617. The next prime is 85976659. The reversal of 85976640 is 4667958.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 803467 + ... + 803573.

Almost surely, 2^85976640 is an apocalyptic number.

85976640 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 85976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159325056).

85976640 is an abundant number, since it is smaller than the sum of its proper divisors (232673472).

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

85976640 is a wasteful number, since it uses less digits than its factorization.

85976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 85976640 is about 9272.3589231651. The cubic root of 85976640 is about 441.3605270608.

The spelling of 85976640 in words is "eighty-five million, nine hundred seventy-six thousand, six hundred forty".