872350560 has 240 divisors, whose sum is σ = 3102500016. Its totient is φ = 231787008.

The previous prime is 872350547. The next prime is 872350573. The reversal of 872350560 is 65053278.

It is an interprime number because it is at equal distance from previous prime (872350547) and next prime (872350573).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3149142 + ... + 3149418.

Almost surely, 2^872350560 is an apocalyptic number.

872350560 is a gapful number since it is divisible by the number (80) 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 872350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551250008).

872350560 is an abundant number, since it is smaller than the sum of its proper divisors (2230149456).

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

872350560 is an frugal number, since it uses more digits than its factorization.

872350560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 872350560 is about 29535.5812538030. The cubic root of 872350560 is about 955.4992446435.

The spelling of 872350560 in words is "eight hundred seventy-two million, three hundred fifty thousand, five hundred sixty".