85974960 has 40 divisors (see below), whose sum is σ = 266523120. Its totient is φ = 22926592.

The previous prime is 85974929. The next prime is 85974961. The reversal of 85974960 is 6947958.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (85974961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178875 + ... + 179354.

It is an arithmetic number, because the mean of its divisors is an integer number (6663078).

Almost surely, 2^85974960 is an apocalyptic number.

85974960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85974960 is an abundant number, since it is smaller than the sum of its proper divisors (180548160).

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

85974960 is a wasteful number, since it uses less digits than its factorization.

85974960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358245 (or 358239 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 85974960 is about 9272.2683308886. The cubic root of 85974960 is about 441.3576522857.

The spelling of 85974960 in words is "eighty-five million, nine hundred seventy-four thousand, nine hundred sixty".