82126592 has 72 divisors (see below), whose sum is σ = 176160096. Its totient is φ = 38076416.

The previous prime is 82126589. The next prime is 82126601. The reversal of 82126592 is 29562128.

It is a happy number.

It is a super-2 number, since 2×82126592² = 13489554227068928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491693 + ... + 491859.

It is an arithmetic number, because the mean of its divisors is an integer number (2446668).

Almost surely, 2^82126592 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 82126592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080048).

82126592 is an abundant number, since it is smaller than the sum of its proper divisors (94033504).

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

82126592 is a wasteful number, since it uses less digits than its factorization.

82126592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 82126592 is about 9062.3723163419. The cubic root of 82126592 is about 434.6716013508.

The spelling of 82126592 in words is "eighty-two million, one hundred twenty-six thousand, five hundred ninety-two".