83568000 has 128 divisors (see below), whose sum is σ = 277187040. Its totient is φ = 22272000.

The previous prime is 83567989. The next prime is 83568019. The reversal of 83568000 is 86538.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×83568000² = 13967221248000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47130 + ... + 48870.

Almost surely, 2^83568000 is an apocalyptic number.

83568000 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 83568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138593520).

83568000 is an abundant number, since it is smaller than the sum of its proper divisors (193619040).

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

83568000 is a wasteful number, since it uses less digits than its factorization.

83568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 83568000 is about 9141.5534784849. The cubic root of 83568000 is about 437.1998485468.

The spelling of 83568000 in words is "eighty-three million, five hundred sixty-eight thousand".