83580560 has 40 divisors (see below), whose sum is σ = 222086976. Its totient is φ = 28656000.

The previous prime is 83580559. The next prime is 83580569. The reversal of 83580560 is 6508538.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 83580560.

It is not an unprimeable number, because it can be changed into a prime (83580569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74066 + ... + 75185.

Almost surely, 2^83580560 is an apocalyptic number.

83580560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83580560 is an abundant number, since it is smaller than the sum of its proper divisors (138506416).

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

83580560 is a wasteful number, since it uses less digits than its factorization.

83580560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149271 (or 149265 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 83580560 is about 9142.2404256287. The cubic root of 83580560 is about 437.2217506904.

The spelling of 83580560 in words is "eighty-three million, five hundred eighty thousand, five hundred sixty".