83488900 has 72 divisors (see below), whose sum is σ = 200612160. Its totient is φ = 29904000.

The previous prime is 83488897. The next prime is 83488903. The reversal of 83488900 is 988438.

It is an interprime number because it is at equal distance from previous prime (83488897) and next prime (83488903).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83488903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77566 + ... + 78634.

It is an arithmetic number, because the mean of its divisors is an integer number (2786280).

Almost surely, 2^83488900 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 83488900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100306080).

83488900 is an abundant number, since it is smaller than the sum of its proper divisors (117123260).

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

83488900 is a wasteful number, since it uses less digits than its factorization.

83488900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 83488900 is about 9137.2260560851. The cubic root of 83488900 is about 437.0618634132.

The spelling of 83488900 in words is "eighty-three million, four hundred eighty-eight thousand, nine hundred".