83553664 has 64 divisors (see below), whose sum is σ = 176035680. Its totient is φ = 39424000.

The previous prime is 83553661. The next prime is 83553677. The reversal of 83553664 is 46635538.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83553661) 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, 297204 + ... + 297484.

Almost surely, 2^83553664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88017840).

83553664 is an abundant number, since it is smaller than the sum of its proper divisors (92482016).

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

83553664 is a wasteful number, since it uses less digits than its factorization.

83553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The square root of 83553664 is about 9140.7693330485. The cubic root of 83553664 is about 437.1748467301.

The spelling of 83553664 in words is "eighty-three million, five hundred fifty-three thousand, six hundred sixty-four".