83658320 has 20 divisors (see below), whose sum is σ = 194505780. Its totient is φ = 33463296.

The previous prime is 83658319. The next prime is 83658331. The reversal of 83658320 is 2385638.

It can be written as a sum of positive squares in 2 ways, for example, as 61905424 + 21752896 = 7868^2 + 4664^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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, 522785 + ... + 522944.

It is an arithmetic number, because the mean of its divisors is an integer number (9725289).

Almost surely, 2^83658320 is an apocalyptic number.

83658320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83658320 is an abundant number, since it is smaller than the sum of its proper divisors (110847460).

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

83658320 is a wasteful number, since it uses less digits than its factorization.

83658320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045742 (or 1045736 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 83658320 is about 9146.4922237981. The cubic root of 83658320 is about 437.3572998549.

The spelling of 83658320 in words is "eighty-three million, six hundred fifty-eight thousand, three hundred twenty".