83608636104 has 240 divisors, whose sum is σ = 276259610880. Its totient is φ = 23551093440.

The previous prime is 83608636103. The next prime is 83608636109. The reversal of 83608636104 is 40163680638.

83608636104 is a `hidden beast` number, since 8 + 3 + 6 + 0 + 8 + 636 + 1 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83608636104.

It is not an unprimeable number, because it can be changed into a prime (83608636103) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2235849 + ... + 2272935.

It is an arithmetic number, because the mean of its divisors is an integer number (1151081712).

Almost surely, 2^83608636104 is an apocalyptic number.

83608636104 is a gapful number since it is divisible by the number (84) 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 83608636104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138129805440).

83608636104 is an abundant number, since it is smaller than the sum of its proper divisors (192650974776).

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

83608636104 is a wasteful number, since it uses less digits than its factorization.

83608636104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37190 (or 37170 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 83608636104 in words is "eighty-three billion, six hundred eight million, six hundred thirty-six thousand, one hundred four".