83680632 has 72 divisors (see below), whose sum is σ = 263647800. Its totient is φ = 23907744.

The previous prime is 83680609. The next prime is 83680657. The reversal of 83680632 is 23608638.

It is a tau number, because it is divible by the number of its divisors (72).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8332 + ... + 15387.

It is an arithmetic number, because the mean of its divisors is an integer number (3661775).

Almost surely, 2^83680632 is an apocalyptic number.

It is an amenable number.

83680632 is an abundant number, since it is smaller than the sum of its proper divisors (179967168).

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

83680632 is a wasteful number, since it uses less digits than its factorization.

83680632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23745 (or 23731 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 83680632 is about 9147.7118450463. The cubic root of 83680632 is about 437.3961780309.

The spelling of 83680632 in words is "eighty-three million, six hundred eighty thousand, six hundred thirty-two".