1160660400 has 120 divisors (see below), whose sum is σ = 3818614224. Its totient is φ = 301132800.

The previous prime is 1160660399. The next prime is 1160660401. The reversal of 1160660400 is 40660611.

It is an interprime number because it is at equal distance from previous prime (1160660399) and next prime (1160660401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1160660401) by changing a digit.

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, 31330 + ... + 57470.

Almost surely, 2^1160660400 is an apocalyptic number.

1160660400 is a gapful number since it is divisible by the number (10) 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 1160660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909307112).

1160660400 is an abundant number, since it is smaller than the sum of its proper divisors (2657953824).

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

1160660400 is a wasteful number, since it uses less digits than its factorization.

1160660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26199 (or 26188 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1160660400 is about 34068.4663582029. The cubic root of 1160660400 is about 1050.9169314663.

The spelling of 1160660400 in words is "one billion, one hundred sixty million, six hundred sixty thousand, four hundred".