83901564 has 36 divisors (see below), whose sum is σ = 212460976. Its totient is φ = 27917568.

The previous prime is 83901563. The next prime is 83901569. The reversal of 83901564 is 46510938.

83901564 is a `hidden beast` number, since 8 + 3 + 90 + 1 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83901563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22497 + ... + 25959.

Almost surely, 2^83901564 is an apocalyptic number.

It is an amenable number.

83901564 is an abundant number, since it is smaller than the sum of its proper divisors (128559412).

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

83901564 is a wasteful number, since it uses less digits than its factorization.

83901564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 83901564 is about 9159.7796916738. The cubic root of 83901564 is about 437.7807747616.

The spelling of 83901564 in words is "eighty-three million, nine hundred one thousand, five hundred sixty-four".