882416340 has 144 divisors (see below), whose sum is σ = 2892489600. Its totient is φ = 216463104.

The previous prime is 882416299. The next prime is 882416363. The reversal of 882416340 is 43614288.

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

It is a junction number, because it is equal to n+sod(n) for n = 882416295 and 882416304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026831 + ... + 1027689.

Almost surely, 2^882416340 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 882416340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446244800).

882416340 is an abundant number, since it is smaller than the sum of its proper divisors (2010073260).

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

882416340 is a wasteful number, since it uses less digits than its factorization.

882416340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 882416340 is about 29705.4934313504. The cubic root of 882416340 is about 959.1602682878.

The spelling of 882416340 in words is "eight hundred eighty-two million, four hundred sixteen thousand, three hundred forty".