82526496 has 96 divisors (see below), whose sum is σ = 236234880. Its totient is φ = 25073664.

The previous prime is 82526491. The next prime is 82526497. The reversal of 82526496 is 69462528.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (82526491) 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, 110701 + ... + 111443.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^82526496 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 82526496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

82526496 is an abundant number, since it is smaller than the sum of its proper divisors (153708384).

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

82526496 is a wasteful number, since it uses less digits than its factorization.

82526496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 82526496 is about 9084.4095019985. The cubic root of 82526496 is about 435.3759835598.

The spelling of 82526496 in words is "eighty-two million, five hundred twenty-six thousand, four hundred ninety-six".