83788104 has 64 divisors (see below), whose sum is σ = 223560000. Its totient is φ = 26077184.

The previous prime is 83788099. The next prime is 83788127. The reversal of 83788104 is 40188738.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55147 + ... + 56645.

It is an arithmetic number, because the mean of its divisors is an integer number (3493125).

Almost surely, 2^83788104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83788104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111780000).

83788104 is an abundant number, since it is smaller than the sum of its proper divisors (139771896).

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

83788104 is a wasteful number, since it uses less digits than its factorization.

83788104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 83788104 is about 9153.5842160325. The cubic root of 83788104 is about 437.5833489092.

The spelling of 83788104 in words is "eighty-three million, seven hundred eighty-eight thousand, one hundred four".