83600400 has 240 divisors, whose sum is σ = 302230656. Its totient is φ = 19599360.

The previous prime is 83600393. The next prime is 83600431. The reversal of 83600400 is 400638.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358684 + ... + 358916.

Almost surely, 2^83600400 is an apocalyptic number.

83600400 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 83600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151115328).

83600400 is an abundant number, since it is smaller than the sum of its proper divisors (218630256).

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

83600400 is a wasteful number, since it uses less digits than its factorization.

83600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 83600400 is about 9143.3254344358. The cubic root of 83600400 is about 437.2563432371.

The spelling of 83600400 in words is "eighty-three million, six hundred thousand, four hundred".