83373664 has 96 divisors (see below), whose sum is σ = 188606880. Its totient is φ = 35942400.

The previous prime is 83373613. The next prime is 83373683. The reversal of 83373664 is 46637338.

Its product of digits (217728) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764842 + ... + 764950.

It is an arithmetic number, because the mean of its divisors is an integer number (1964655).

Almost surely, 2^83373664 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 83373664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94303440).

83373664 is an abundant number, since it is smaller than the sum of its proper divisors (105233216).

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

83373664 is a wasteful number, since it uses less digits than its factorization.

83373664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 217728, while the sum is 40.

The square root of 83373664 is about 9130.9180261352. The cubic root of 83373664 is about 436.8606851688.

The spelling of 83373664 in words is "eighty-three million, three hundred seventy-three thousand, six hundred sixty-four".