882414096 has 80 divisors (see below), whose sum is σ = 2342016768. Its totient is φ = 286156800.

The previous prime is 882414083. The next prime is 882414097. The reversal of 882414096 is 690414288.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (882414097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407256 + ... + 409416.

Almost surely, 2^882414096 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 882414096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171008384).

882414096 is an abundant number, since it is smaller than the sum of its proper divisors (1459602672).

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

882414096 is a wasteful number, since it uses less digits than its factorization.

882414096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 882414096 is about 29705.4556605348. The cubic root of 882414096 is about 959.1594552334.

The spelling of 882414096 in words is "eight hundred eighty-two million, four hundred fourteen thousand, ninety-six".