83583984 has 40 divisors (see below), whose sum is σ = 235556352. Its totient is φ = 25328320.

The previous prime is 83583979. The next prime is 83583991. The reversal of 83583984 is 48938538.

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

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, 78624 + ... + 79679.

Almost surely, 2^83583984 is an apocalyptic number.

It is an amenable number.

83583984 is an abundant number, since it is smaller than the sum of its proper divisors (151972368).

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

83583984 is a wasteful number, since it uses less digits than its factorization.

83583984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158325 (or 158319 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 83583984 is about 9142.4276863424. The cubic root of 83583984 is about 437.2277210853.

The spelling of 83583984 in words is "eighty-three million, five hundred eighty-three thousand, nine hundred eighty-four".