82832640 has 288 divisors, whose sum is σ = 301988736. Its totient is φ = 19169280.

The previous prime is 82832627. The next prime is 82832657. The reversal of 82832640 is 4623828.

It is a super-2 number, since 2×82832640² = 13722492498739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1562854 + ... + 1562906.

It is an arithmetic number, because the mean of its divisors is an integer number (1048572).

Almost surely, 2^82832640 is an apocalyptic number.

82832640 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 82832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994368).

82832640 is an abundant number, since it is smaller than the sum of its proper divisors (219156096).

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

82832640 is a wasteful number, since it uses less digits than its factorization.

82832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 82832640 is about 9101.2438710321. The cubic root of 82832640 is about 435.9136826571.

The spelling of 82832640 in words is "eighty-two million, eight hundred thirty-two thousand, six hundred forty".