83867264 has 48 divisors (see below), whose sum is σ = 180966870. Its totient is φ = 38697984.

The previous prime is 83867227. The next prime is 83867293. The reversal of 83867264 is 46276838.

It can be written as a sum of positive squares in 3 ways, for example, as 31449664 + 52417600 = 5608^2 + 7240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19694 + ... + 23570.

Almost surely, 2^83867264 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 83867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90483435).

83867264 is an abundant number, since it is smaller than the sum of its proper divisors (97099606).

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

83867264 is a wasteful number, since it uses less digits than its factorization.

83867264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3892 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 83867264 is about 9157.9071845045. The cubic root of 83867264 is about 437.7211098934.

The spelling of 83867264 in words is "eighty-three million, eight hundred sixty-seven thousand, two hundred sixty-four".