882363240 has 384 divisors, whose sum is σ = 3421699200. Its totient is φ = 200540160.

The previous prime is 882363127. The next prime is 882363253. The reversal of 882363240 is 42363288.

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 = 882363195 and 882363204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3433192 + ... + 3433448.

It is an arithmetic number, because the mean of its divisors is an integer number (8910675).

Almost surely, 2^882363240 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 882363240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710849600).

882363240 is an abundant number, since it is smaller than the sum of its proper divisors (2539335960).

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

882363240 is a wasteful number, since it uses less digits than its factorization.

882363240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 882363240 is about 29704.5996438262. The cubic root of 882363240 is about 959.1410285292.

The spelling of 882363240 in words is "eight hundred eighty-two million, three hundred sixty-three thousand, two hundred forty".