83655760 has 40 divisors (see below), whose sum is σ = 195924960. Its totient is φ = 33217152.

The previous prime is 83655743. The next prime is 83655773. The reversal of 83655760 is 6755638.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7359 + ... + 14881.

It is an arithmetic number, because the mean of its divisors is an integer number (4898124).

Almost surely, 2^83655760 is an apocalyptic number.

83655760 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 83655760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

83655760 is an abundant number, since it is smaller than the sum of its proper divisors (112269200).

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

83655760 is a wasteful number, since it uses less digits than its factorization.

83655760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7675 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 83655760 is about 9146.3522783676. The cubic root of 83655760 is about 437.3528386683.

The spelling of 83655760 in words is "eighty-three million, six hundred fifty-five thousand, seven hundred sixty".