83695680 has 140 divisors (see below), whose sum is σ = 297812460. Its totient is φ = 22311936.

The previous prime is 83695657. The next prime is 83695687. The reversal of 83695680 is 8659638.

83695680 is a `hidden beast` number, since 83 + 6 + 9 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27625536 + 56070144 = 5256^2 + 7488^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (83695687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24306 + ... + 27534.

Almost surely, 2^83695680 is an apocalyptic number.

83695680 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 83695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148906230).

83695680 is an abundant number, since it is smaller than the sum of its proper divisors (214116780).

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

83695680 is a wasteful number, since it uses less digits than its factorization.

83695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 83695680 is about 9148.5343088388. The cubic root of 83695680 is about 437.4223949425.

The spelling of 83695680 in words is "eighty-three million, six hundred ninety-five thousand, six hundred eighty".