82740924 has 72 divisors (see below), whose sum is σ = 240021600. Its totient is φ = 23542272.

The previous prime is 82740923. The next prime is 82740929. The reversal of 82740924 is 42904728.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82740923) 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, 78352 + ... + 79400.

Almost surely, 2^82740924 is an apocalyptic number.

82740924 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 82740924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120010800).

82740924 is an abundant number, since it is smaller than the sum of its proper divisors (157280676).

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

82740924 is a wasteful number, since it uses less digits than its factorization.

82740924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82740924 is about 9096.2038235739. The cubic root of 82740924 is about 435.7527355378.

The spelling of 82740924 in words is "eighty-two million, seven hundred forty thousand, nine hundred twenty-four".