83944560 has 160 divisors (see below), whose sum is σ = 307837440. Its totient is φ = 18514944.

The previous prime is 83944547. The next prime is 83944571. The reversal of 83944560 is 6544938.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47859 + ... + 49581.

It is an arithmetic number, because the mean of its divisors is an integer number (1923984).

Almost surely, 2^83944560 is an apocalyptic number.

83944560 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 83944560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153918720).

83944560 is an abundant number, since it is smaller than the sum of its proper divisors (223892880).

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

83944560 is a wasteful number, since it uses less digits than its factorization.

83944560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 83944560 is about 9162.1263907458. The cubic root of 83944560 is about 437.8555433631.

The spelling of 83944560 in words is "eighty-three million, nine hundred forty-four thousand, five hundred sixty".