82188864 has 56 divisors (see below), whose sum is σ = 241625120. Its totient is φ = 27395712.

The previous prime is 82188839. The next prime is 82188881. The reversal of 82188864 is 46888128.

It is a happy number.

It is a super-2 number, since 2×82188864² = 13510018731220992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 22054 + ... + 25509.

Almost surely, 2^82188864 is an apocalyptic number.

It is an amenable number.

82188864 is an abundant number, since it is smaller than the sum of its proper divisors (159436256).

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

82188864 is a wasteful number, since it uses less digits than its factorization.

82188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47584 (or 47568 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 82188864 is about 9065.8074102641. The cubic root of 82188864 is about 434.7814359806.

The spelling of 82188864 in words is "eighty-two million, one hundred eighty-eight thousand, eight hundred sixty-four".