85672440 has 96 divisors (see below), whose sum is σ = 318221280. Its totient is φ = 19581696.

The previous prime is 85672429. The next prime is 85672451. The reversal of 85672440 is 4427658.

It is an interprime number because it is at equal distance from previous prime (85672429) and next prime (85672451).

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

It is a junction number, because it is equal to n+sod(n) for n = 85672395 and 85672404.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14479 + ... + 19518.

It is an arithmetic number, because the mean of its divisors is an integer number (3314805).

Almost surely, 2^85672440 is an apocalyptic number.

It is an amenable number.

85672440 is an abundant number, since it is smaller than the sum of its proper divisors (232548840).

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

85672440 is a wasteful number, since it uses less digits than its factorization.

85672440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34021 (or 34014 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 85672440 is about 9255.9407949705. The cubic root of 85672440 is about 440.8393756897.

The spelling of 85672440 in words is "eighty-five million, six hundred seventy-two thousand, four hundred forty".