83888400 has 120 divisors (see below), whose sum is σ = 274000320. Its totient is φ = 21931520.

The previous prime is 83888393. The next prime is 83888411. The reversal of 83888400 is 488838.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62941 + ... + 64259.

It is an arithmetic number, because the mean of its divisors is an integer number (2283336).

Almost surely, 2^83888400 is an apocalyptic number.

83888400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000160).

83888400 is an abundant number, since it is smaller than the sum of its proper divisors (190111920).

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

83888400 is a wasteful number, since it uses less digits than its factorization.

83888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 83888400 is about 9159.0610872512. The cubic root of 83888400 is about 437.7578778998.

The spelling of 83888400 in words is "eighty-three million, eight hundred eighty-eight thousand, four hundred".