82907064 has 80 divisors (see below), whose sum is σ = 234788400. Its totient is φ = 27330048.

The previous prime is 82907029. The next prime is 82907081. The reversal of 82907064 is 46070928.

It is a super-2 number, since 2×82907064² = 13747162522200192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62197 + ... + 63515.

It is an arithmetic number, because the mean of its divisors is an integer number (2934855).

Almost surely, 2^82907064 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 82907064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117394200).

82907064 is an abundant number, since it is smaller than the sum of its proper divisors (151881336).

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

82907064 is a wasteful number, since it uses less digits than its factorization.

82907064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82907064 is about 9105.3316249327. The cubic root of 82907064 is about 436.0441977471.

The spelling of 82907064 in words is "eighty-two million, nine hundred seven thousand, sixty-four".