82946640 has 160 divisors (see below), whose sum is σ = 297480960. Its totient is φ = 18726912.

The previous prime is 82946629. The next prime is 82946651. The reversal of 82946640 is 4664928.

It is an interprime number because it is at equal distance from previous prime (82946629) and next prime (82946651).

It is a congruent number.

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, 162706 + ... + 163214.

It is an arithmetic number, because the mean of its divisors is an integer number (1859256).

Almost surely, 2^82946640 is an apocalyptic number.

82946640 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 82946640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480).

82946640 is an abundant number, since it is smaller than the sum of its proper divisors (214534320).

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

82946640 is a wasteful number, since it uses less digits than its factorization.

82946640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 82946640 is about 9107.5045978577. The cubic root of 82946640 is about 436.1135691581.

The spelling of 82946640 in words is "eighty-two million, nine hundred forty-six thousand, six hundred forty".