83560512 has 112 divisors (see below), whose sum is σ = 256194560. Its totient is φ = 23542272.

The previous prime is 83560493. The next prime is 83560573. The reversal of 83560512 is 21506538.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 83560512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105783 + ... + 106569.

Almost surely, 2^83560512 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 83560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128097280).

83560512 is an abundant number, since it is smaller than the sum of its proper divisors (172634048).

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

83560512 is a wasteful number, since it uses less digits than its factorization.

83560512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 83560512 is about 9141.1439109118. The cubic root of 83560512 is about 437.1867899189.

The spelling of 83560512 in words is "eighty-three million, five hundred sixty thousand, five hundred twelve".