85672620 has 96 divisors (see below), whose sum is σ = 290787840. Its totient is φ = 20767680.

The previous prime is 85672607. The next prime is 85672633. The reversal of 85672620 is 2627658.

It is an interprime number because it is at equal distance from previous prime (85672607) and next prime (85672633).

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

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, 1272 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (3029040).

Almost surely, 2^85672620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85672620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145393920).

85672620 is an abundant number, since it is smaller than the sum of its proper divisors (205115220).

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

85672620 is a wasteful number, since it uses less digits than its factorization.

85672620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14452 (or 14444 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 85672620 is about 9255.9505184503. The cubic root of 85672620 is about 440.8396844278.

The spelling of 85672620 in words is "eighty-five million, six hundred seventy-two thousand, six hundred twenty".