872626944 has 288 divisors, whose sum is σ = 2818561536. Its totient is φ = 234455040.

The previous prime is 872626901. The next prime is 872626987. The reversal of 872626944 is 449626278.

It is an interprime number because it is at equal distance from previous prime (872626901) and next prime (872626987).

It is a super-2 number, since 2×872626944² = 1522955566789558272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 872626893 and 872626902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8155339 + ... + 8155445.

It is an arithmetic number, because the mean of its divisors is an integer number (9786672).

Almost surely, 2^872626944 is an apocalyptic number.

872626944 is a gapful number since it is divisible by the number (84) 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 872626944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409280768).

872626944 is an abundant number, since it is smaller than the sum of its proper divisors (1945934592).

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

872626944 is a wasteful number, since it uses less digits than its factorization.

872626944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 872626944 is about 29540.2597144981. The cubic root of 872626944 is about 955.6001432312.

The spelling of 872626944 in words is "eight hundred seventy-two million, six hundred twenty-six thousand, nine hundred forty-four".