90864600688 has 40 divisors (see below), whose sum is σ = 176379822080. Its totient is φ = 45347325120.

The previous prime is 90864600679. The next prime is 90864600689. The reversal of 90864600688 is 88600646809.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90864600689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25189381 + ... + 25192987.

It is an arithmetic number, because the mean of its divisors is an integer number (4409495552).

Almost surely, 2^90864600688 is an apocalyptic number.

It is an amenable number.

90864600688 is a deficient number, since it is larger than the sum of its proper divisors (85515221392).

90864600688 is a wasteful number, since it uses less digits than its factorization.

90864600688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 55.

The spelling of 90864600688 in words is "ninety billion, eight hundred sixty-four million, six hundred thousand, six hundred eighty-eight".