842607360 has 576 divisors, whose sum is σ = 3539880960. Its totient is φ = 188116992.

The previous prime is 842607301. The next prime is 842607361. The reversal of 842607360 is 63706248.

842607360 is a `hidden beast` number, since 8 + 42 + 607 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (842607361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19595499 + ... + 19595541.

Almost surely, 2^842607360 is an apocalyptic number.

842607360 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 842607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769940480).

842607360 is an abundant number, since it is smaller than the sum of its proper divisors (2697273600).

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

842607360 is an frugal number, since it uses more digits than its factorization.

842607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 842607360 is about 29027.6998744303. The cubic root of 842607360 is about 944.5140358511.

The spelling of 842607360 in words is "eight hundred forty-two million, six hundred seven thousand, three hundred sixty".