83633880 has 128 divisors (see below), whose sum is σ = 289889280. Its totient is φ = 19077120.

The previous prime is 83633873. The next prime is 83633881. The reversal of 83633880 is 8833638.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83633881) 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, 20577 + ... + 24303.

It is an arithmetic number, because the mean of its divisors is an integer number (2264760).

Almost surely, 2^83633880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83633880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144944640).

83633880 is an abundant number, since it is smaller than the sum of its proper divisors (206255400).

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

83633880 is a wasteful number, since it uses less digits than its factorization.

83633880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 83633880 is about 9145.1560948953. The cubic root of 83633880 is about 437.3147057511.

It can be divided in two parts, 836 and 33880, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 83633880 in words is "eighty-three million, six hundred thirty-three thousand, eight hundred eighty".