83705680 has 40 divisors (see below), whose sum is σ = 195103584. Its totient is φ = 33398400.

The previous prime is 83705639. The next prime is 83705681. The reversal of 83705680 is 8650738.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83705681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38215 + ... + 40345.

Almost surely, 2^83705680 is an apocalyptic number.

83705680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83705680 is an abundant number, since it is smaller than the sum of its proper divisors (111397904).

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

83705680 is a wasteful number, since it uses less digits than its factorization.

83705680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 83705680 is about 9149.0808281488. The cubic root of 83705680 is about 437.4398153946.

The spelling of 83705680 in words is "eighty-three million, seven hundred five thousand, six hundred eighty".