82010544 has 80 divisors (see below), whose sum is σ = 264149760. Its totient is φ = 21300480.

The previous prime is 82010543. The next prime is 82010561. The reversal of 82010544 is 44501028.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82010543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7399 + ... + 14790.

It is an arithmetic number, because the mean of its divisors is an integer number (3301872).

Almost surely, 2^82010544 is an apocalyptic number.

82010544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82010544 is an abundant number, since it is smaller than the sum of its proper divisors (182139216).

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

82010544 is a wasteful number, since it uses less digits than its factorization.

82010544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22218 (or 22212 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 82010544 is about 9055.9673144286. The cubic root of 82010544 is about 434.4667690035.

The spelling of 82010544 in words is "eighty-two million, ten thousand, five hundred forty-four".