83090952 has 96 divisors (see below), whose sum is σ = 270753600. Its totient is φ = 22488192.

The previous prime is 83090923. The next prime is 83090963. The reversal of 83090952 is 25909038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5238 + ... + 13914.

It is an arithmetic number, because the mean of its divisors is an integer number (2820350).

Almost surely, 2^83090952 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 83090952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135376800).

83090952 is an abundant number, since it is smaller than the sum of its proper divisors (187662648).

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

83090952 is a wasteful number, since it uses less digits than its factorization.

83090952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8715 (or 8708 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 83090952 is about 9115.4238519117. The cubic root of 83090952 is about 436.3663419340.

The spelling of 83090952 in words is "eighty-three million, ninety thousand, nine hundred fifty-two".