872153568 has 360 divisors, whose sum is σ = 3046699656. Its totient is φ = 242611200.

The previous prime is 872153509. The next prime is 872153647. The reversal of 872153568 is 865351278.

872153568 is a `hidden beast` number, since 8 + 72 + 15 + 3 + 568 = 666.

Its product of digits (403200) is a multiple of the sum of its prime divisors (210).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4818438 + ... + 4818618.

Almost surely, 2^872153568 is an apocalyptic number.

872153568 is a gapful number since it is divisible by the number (88) 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 872153568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523349828).

872153568 is an abundant number, since it is smaller than the sum of its proper divisors (2174546088).

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

872153568 is a wasteful number, since it uses less digits than its factorization.

872153568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 210 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 872153568 is about 29532.2462403387. The cubic root of 872153568 is about 955.4273164204.

The spelling of 872153568 in words is "eight hundred seventy-two million, one hundred fifty-three thousand, five hundred sixty-eight".