83400852 has 48 divisors (see below), whose sum is σ = 203817600. Its totient is φ = 26492928.

The previous prime is 83400841. The next prime is 83400859. The reversal of 83400852 is 25800438.

It is a super-2 number, since 2×83400852² = 13911404228651808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83400859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123588 + ... + 124260.

It is an arithmetic number, because the mean of its divisors is an integer number (4246200).

Almost surely, 2^83400852 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 83400852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101908800).

83400852 is an abundant number, since it is smaller than the sum of its proper divisors (120416748).

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

83400852 is a wasteful number, since it uses less digits than its factorization.

83400852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 83400852 is about 9132.4066926523. The cubic root of 83400852 is about 436.9081664993.

The spelling of 83400852 in words is "eighty-three million, four hundred thousand, eight hundred fifty-two".