82203264 has 192 divisors, whose sum is σ = 278460000. Its totient is φ = 22947840.

The previous prime is 82203263. The next prime is 82203287. The reversal of 82203264 is 46230228.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×82203264² = 13514753224507392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82203263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164487 + ... + 164985.

Almost surely, 2^82203264 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 82203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139230000).

82203264 is an abundant number, since it is smaller than the sum of its proper divisors (196256736).

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

82203264 is a wasteful number, since it uses less digits than its factorization.

82203264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82203264 is about 9066.6015683937. The cubic root of 82203264 is about 434.8068266348.

The spelling of 82203264 in words is "eighty-two million, two hundred three thousand, two hundred sixty-four".