83622225960 has 960 divisors, whose sum is σ = 363737848320. Its totient is φ = 17061166080.

The previous prime is 83622225949. The next prime is 83622225961. The reversal of 83622225960 is 6952222638.

83622225960 is a `hidden beast` number, since 8 + 36 + 2 + 2 + 22 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (83622225961) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 63979627 + ... + 63980933.

It is an arithmetic number, because the mean of its divisors is an integer number (378893592).

Almost surely, 2^83622225960 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 83622225960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181868924160).

83622225960 is an abundant number, since it is smaller than the sum of its proper divisors (280115622360).

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

83622225960 is a wasteful number, since it uses less digits than its factorization.

83622225960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 8362 and 2225960, that added together give a palindrome (2234322).

The spelling of 83622225960 in words is "eighty-three billion, six hundred twenty-two million, two hundred twenty-five thousand, nine hundred sixty".