882434560 has 160 divisors (see below), whose sum is σ = 2524338432. Its totient is φ = 289259520.

The previous prime is 882434557. The next prime is 882434593. The reversal of 882434560 is 65434288.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411090 + ... + 413230.

Almost surely, 2^882434560 is an apocalyptic number.

882434560 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 882434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262169216).

882434560 is an abundant number, since it is smaller than the sum of its proper divisors (1641903872).

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

882434560 is a wasteful number, since it uses less digits than its factorization.

882434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 882434560 is about 29705.8001070498. The cubic root of 882434560 is about 959.1668697747.

The spelling of 882434560 in words is "eight hundred eighty-two million, four hundred thirty-four thousand, five hundred sixty".