82554864 has 80 divisors (see below), whose sum is σ = 244889088. Its totient is φ = 23475456.

The previous prime is 82554863. The next prime is 82554869. The reversal of 82554864 is 46845528.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82554863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92629 + ... + 93515.

Almost surely, 2^82554864 is an apocalyptic number.

82554864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82554864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122444544).

82554864 is an abundant number, since it is smaller than the sum of its proper divisors (162334224).

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

82554864 is a wasteful number, since it uses less digits than its factorization.

82554864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1176 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 82554864 is about 9085.9707241439. The cubic root of 82554864 is about 435.4258638270.

The spelling of 82554864 in words is "eighty-two million, five hundred fifty-four thousand, eight hundred sixty-four".