82529920 has 128 divisors (see below), whose sum is σ = 226929600. Its totient is φ = 28385280.

The previous prime is 82529879. The next prime is 82529927. The reversal of 82529920 is 2992528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×82529920² = 13622375390412800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82529920.

It is not an unprimeable number, because it can be changed into a prime (82529927) 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, 133452 + ... + 134068.

Almost surely, 2^82529920 is an apocalyptic number.

82529920 is a gapful number since it is divisible by the number (80) 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 82529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113464800).

82529920 is an abundant number, since it is smaller than the sum of its proper divisors (144399680).

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

82529920 is a wasteful number, since it uses less digits than its factorization.

82529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 82529920 is about 9084.5979547804. The cubic root of 82529920 is about 435.3820046836.

The spelling of 82529920 in words is "eighty-two million, five hundred twenty-nine thousand, nine hundred twenty".