1160007408 has 120 divisors (see below), whose sum is σ = 3717929696. Its totient is φ = 330739200.

The previous prime is 1160007391. The next prime is 1160007413. The reversal of 1160007408 is 8047000611.

It is a happy number.

1160007408 is a `hidden beast` number, since 11 + 600 + 0 + 7 + 40 + 8 = 666.

It is a super-2 number, since 2×1160007408² = 2691234373229756928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665418 + ... + 667158.

Almost surely, 2^1160007408 is an apocalyptic number.

1160007408 is a gapful number since it is divisible by the number (18) 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 1160007408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858964848).

1160007408 is an abundant number, since it is smaller than the sum of its proper divisors (2557922288).

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

1160007408 is a wasteful number, since it uses less digits than its factorization.

1160007408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1160007408 is about 34058.8814848638. The cubic root of 1160007408 is about 1050.7198111938.

The spelling of 1160007408 in words is "one billion, one hundred sixty million, seven thousand, four hundred eight".