83056640 has 48 divisors (see below), whose sum is σ = 199311840. Its totient is φ = 33218560.

The previous prime is 83056639. The next prime is 83056663. The reversal of 83056640 is 4665038.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 83056597 and 83056606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6185 + ... + 14295.

It is an arithmetic number, because the mean of its divisors is an integer number (4152330).

Almost surely, 2^83056640 is an apocalyptic number.

83056640 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 83056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99655920).

83056640 is an abundant number, since it is smaller than the sum of its proper divisors (116255200).

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

83056640 is an equidigital number, since it uses as much as digits as its factorization.

83056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8138 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 83056640 is about 9113.5415728464. The cubic root of 83056640 is about 436.3062685526.

The spelling of 83056640 in words is "eighty-three million, fifty-six thousand, six hundred forty".