882584640 has 224 divisors, whose sum is σ = 3558600960. Its totient is φ = 201719808.

The previous prime is 882584629. The next prime is 882584653. The reversal of 882584640 is 46485288.

882584640 is a `hidden beast` number, since 8 + 8 + 2 + 584 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53184 + ... + 67776.

Almost surely, 2^882584640 is an apocalyptic number.

882584640 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 882584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779300480).

882584640 is an abundant number, since it is smaller than the sum of its proper divisors (2676016320).

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

882584640 is a wasteful number, since it uses less digits than its factorization.

882584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14626 (or 14610 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 882584640 is about 29708.3261056560. The cubic root of 882584640 is about 959.2212434398.

The spelling of 882584640 in words is "eight hundred eighty-two million, five hundred eighty-four thousand, six hundred forty".