83189568 has 224 divisors, whose sum is σ = 291437568. Its totient is φ = 20275200.

The previous prime is 83189567. The next prime is 83189573. The reversal of 83189568 is 86598138.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83189567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251163 + ... + 251493.

Almost surely, 2^83189568 is an apocalyptic number.

83189568 is a gapful number since it is divisible by the number (88) 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 83189568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145718784).

83189568 is an abundant number, since it is smaller than the sum of its proper divisors (208248000).

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

83189568 is a wasteful number, since it uses less digits than its factorization.

83189568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 83189568 is about 9120.8315410383. The cubic root of 83189568 is about 436.5389066116.

The spelling of 83189568 in words is "eighty-three million, one hundred eighty-nine thousand, five hundred sixty-eight".