83920200 has 384 divisors, whose sum is σ = 337478400. Its totient is φ = 16773120.

The previous prime is 83920189. The next prime is 83920231. The reversal of 83920200 is 202938.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1583374 + ... + 1583426.

It is an arithmetic number, because the mean of its divisors is an integer number (878850).

Almost surely, 2^83920200 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 83920200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

83920200 is an abundant number, since it is smaller than the sum of its proper divisors (253558200).

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

83920200 is a wasteful number, since it uses less digits than its factorization.

83920200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 83920200 is about 9160.7969085664. The cubic root of 83920200 is about 437.8131852760.

The spelling of 83920200 in words is "eighty-three million, nine hundred twenty thousand, two hundred".