83788992 has 140 divisors (see below), whose sum is σ = 283982160. Its totient is φ = 23929344.

The previous prime is 83788981. The next prime is 83788997. The reversal of 83788992 is 29988738.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83788997) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35134 + ... + 37442.

It is an arithmetic number, because the mean of its divisors is an integer number (2028444).

Almost surely, 2^83788992 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 83788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141991080).

83788992 is an abundant number, since it is smaller than the sum of its proper divisors (200193168).

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

83788992 is a wasteful number, since it uses less digits than its factorization.

83788992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2321 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 83788992 is about 9153.6327214937. The cubic root of 83788992 is about 437.5848947636.

The spelling of 83788992 in words is "eighty-three million, seven hundred eighty-eight thousand, nine hundred ninety-two".