83901600 has 216 divisors, whose sum is σ = 303855552. Its totient is φ = 21772800.

The previous prime is 83901581. The next prime is 83901641. The reversal of 83901600 is 610938.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309465 + ... + 309735.

Almost surely, 2^83901600 is an apocalyptic number.

83901600 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 83901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151927776).

83901600 is an abundant number, since it is smaller than the sum of its proper divisors (219953952).

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

83901600 is a wasteful number, since it uses less digits than its factorization.

83901600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 83901600 is about 9159.7816567864. The cubic root of 83901600 is about 437.7808373751.

The spelling of 83901600 in words is "eighty-three million, nine hundred one thousand, six hundred".