82429056 has 256 divisors, whose sum is σ = 273196800. Its totient is φ = 24330240.

The previous prime is 82429037. The next prime is 82429069. The reversal of 82429056 is 65092428.

It is a happy number.

It is a super-2 number, since 2×82429056² = 13589098546102272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82429056.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351266 + ... + 1351326.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 2^82429056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

82429056 is an abundant number, since it is smaller than the sum of its proper divisors (190767744).

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

82429056 is a wasteful number, since it uses less digits than its factorization.

82429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 82429056 is about 9079.0448836868. The cubic root of 82429056 is about 435.2045649031.

The spelling of 82429056 in words is "eighty-two million, four hundred twenty-nine thousand, fifty-six".