882601920 has 280 divisors, whose sum is σ = 3325910544. Its totient is φ = 221405184.

The previous prime is 882601919. The next prime is 882601987. The reversal of 882601920 is 29106288.

It is a super-2 number, since 2×882601920² = 1557972298375372800, which contains 22 as substring.

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, 439639 + ... + 441641.

Almost surely, 2^882601920 is an apocalyptic number.

882601920 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 882601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662955272).

882601920 is an abundant number, since it is smaller than the sum of its proper divisors (2443308624).

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

882601920 is a wasteful number, since it uses less digits than its factorization.

882601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 882601920 is about 29708.6169317927. The cubic root of 882601920 is about 959.2275035514.

The spelling of 882601920 in words is "eight hundred eighty-two million, six hundred one thousand, nine hundred twenty".