882653952 has 72 divisors (see below), whose sum is σ = 2353911280. Its totient is φ = 293621760.

The previous prime is 882653939. The next prime is 882653971. The reversal of 882653952 is 259356288.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543702 + ... + 545322.

Almost surely, 2^882653952 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 882653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176955640).

882653952 is an abundant number, since it is smaller than the sum of its proper divisors (1471257328).

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

882653952 is a wasteful number, since it uses less digits than its factorization.

882653952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2335 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 882653952 is about 29709.4926244122. The cubic root of 882653952 is about 959.2463529494.

The spelling of 882653952 in words is "eight hundred eighty-two million, six hundred fifty-three thousand, nine hundred fifty-two".