85907920 has 40 divisors (see below), whose sum is σ = 228271104. Its totient is φ = 29453952.

The previous prime is 85907903. The next prime is 85907959. The reversal of 85907920 is 2970958.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76144 + ... + 77263.

Almost surely, 2^85907920 is an apocalyptic number.

85907920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85907920 is an abundant number, since it is smaller than the sum of its proper divisors (142363184).

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

85907920 is a wasteful number, since it uses less digits than its factorization.

85907920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153427 (or 153421 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 85907920 is about 9268.6525450035. The cubic root of 85907920 is about 441.2429044915.

The spelling of 85907920 in words is "eighty-five million, nine hundred seven thousand, nine hundred twenty".