83680035 has 32 divisors (see below), whose sum is σ = 142482240. Its totient is φ = 41791488.

The previous prime is 83680033. The next prime is 83680043. The reversal of 83680035 is 53008638.

It is not a de Polignac number, because 83680035 - 2¹ = 83680033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83679978 and 83680005.

It is not an unprimeable number, because it can be changed into a prime (83680031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57679 + ... + 59111.

It is an arithmetic number, because the mean of its divisors is an integer number (4452570).

Almost surely, 2^83680035 is an apocalyptic number.

83680035 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

83680035 is a deficient number, since it is larger than the sum of its proper divisors (58802205).

83680035 is a wasteful number, since it uses less digits than its factorization.

83680035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 83680035 is about 9147.6792138771. The cubic root of 83680035 is about 437.3951378613.

The spelling of 83680035 in words is "eighty-three million, six hundred eighty thousand, thirty-five".