83682825624 has 88 divisors (see below), whose sum is σ = 235357947060. Its totient is φ = 27894275208.

The previous prime is 83682825619. The next prime is 83682825641. The reversal of 83682825624 is 42652828638.

It is a happy number.

The cubic root of 83682825624 is 4374.

It is a perfect power (a cube), and thus also a powerful number.

83682825624 is a `hidden beast` number, since 8 + 3 + 6 + 8 + 2 + 8 + 2 + 5 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8847360) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 27894275207 + 27894275208 + 27894275209.

Almost surely, 2^83682825624 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 83682825624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117678973530).

83682825624 is an abundant number, since it is smaller than the sum of its proper divisors (151675121436).

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

83682825624 is an frugal number, since it uses more digits than its factorization.

83682825624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 5 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

Multiplying 83682825624 by its sum of digits (54), we get a 4-th power (4518872583696 = 1458⁴).

83682825624 divided by its sum of digits (54) gives a square (1549681956 = 39366²).

The spelling of 83682825624 in words is "eighty-three billion, six hundred eighty-two million, eight hundred twenty-five thousand, six hundred twenty-four".