83860560 has 180 divisors, whose sum is σ = 327750228. Its totient is φ = 19160064.

The previous prime is 83860519. The next prime is 83860561. The reversal of 83860560 is 6506838.

83860560 is a `hidden beast` number, since 8 + 38 + 60 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31674384 + 52186176 = 5628^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83860561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34092 + ... + 36468.

Almost surely, 2^83860560 is an apocalyptic number.

83860560 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 83860560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163875114).

83860560 is an abundant number, since it is smaller than the sum of its proper divisors (243889668).

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

83860560 is a wasteful number, since it uses less digits than its factorization.

83860560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 83860560 is about 9157.5411546987. The cubic root of 83860560 is about 437.7094463814.

The spelling of 83860560 in words is "eighty-three million, eight hundred sixty thousand, five hundred sixty".