882252672 has 256 divisors, whose sum is σ = 2908224000. Its totient is φ = 231211008.

The previous prime is 882252647. The next prime is 882252677. The reversal of 882252672 is 276252288.

It is a super-2 number, since 2×882252672² = 1556739554502279168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882252677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1964704 + ... + 1965152.

It is an arithmetic number, because the mean of its divisors is an integer number (11360250).

Almost surely, 2^882252672 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 882252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454112000).

882252672 is an abundant number, since it is smaller than the sum of its proper divisors (2025971328).

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

882252672 is a wasteful number, since it uses less digits than its factorization.

882252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 882252672 is about 29702.7384596101. The cubic root of 882252672 is about 959.1009638747.

The spelling of 882252672 in words is "eight hundred eighty-two million, two hundred fifty-two thousand, six hundred seventy-two".