842088960 has 400 divisors, whose sum is σ = 3137156352. Its totient is φ = 215654400.

The previous prime is 842088959. The next prime is 842088967. The reversal of 842088960 is 69880248.

It is a happy number.

It is a super-2 number, since 2×842088960² = 1418227633107763200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (842088967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6428095 + ... + 6428225.

Almost surely, 2^842088960 is an apocalyptic number.

842088960 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 842088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568578176).

842088960 is an abundant number, since it is smaller than the sum of its proper divisors (2295067392).

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

842088960 is a wasteful number, since it uses less digits than its factorization.

842088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 842088960 is about 29018.7690986368. The cubic root of 842088960 is about 944.3202973251.

The spelling of 842088960 in words is "eight hundred forty-two million, eighty-eight thousand, nine hundred sixty".