872361630 has 256 divisors, whose sum is σ = 2965248000. Its totient is φ = 177666048.

The previous prime is 872361629. The next prime is 872361631. The reversal of 872361630 is 36163278.

It is a happy number.

872361630 is a `hidden beast` number, since 8 + 7 + 2 + 3 + 616 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (872361629) and next prime (872361631).

It is a super-2 number, since 2×872361630² = 1522029626992513800, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872361631) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 609756 + ... + 611184.

It is an arithmetic number, because the mean of its divisors is an integer number (11583000).

Almost surely, 2^872361630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872361630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482624000).

872361630 is an abundant number, since it is smaller than the sum of its proper divisors (2092886370).

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

872361630 is a wasteful number, since it uses less digits than its factorization.

872361630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 872361630 is about 29535.7686542944. The cubic root of 872361630 is about 955.5032863413.

The spelling of 872361630 in words is "eight hundred seventy-two million, three hundred sixty-one thousand, six hundred thirty".