882070560 has 432 divisors, whose sum is σ = 3639033216. Its totient is φ = 201180672.

The previous prime is 882070547. The next prime is 882070561. The reversal of 882070560 is 65070288.

882070560 is a `hidden beast` number, since 8 + 8 + 20 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882070561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1904889 + ... + 1905351.

It is an arithmetic number, because the mean of its divisors is an integer number (8423688).

Almost surely, 2^882070560 is an apocalyptic number.

882070560 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 882070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819516608).

882070560 is an abundant number, since it is smaller than the sum of its proper divisors (2756962656).

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

882070560 is a wasteful number, since it uses less digits than its factorization.

882070560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 882070560 is about 29699.6727254696. The cubic root of 882070560 is about 959.0349677341.

The spelling of 882070560 in words is "eight hundred eighty-two million, seventy thousand, five hundred sixty".