1160006400 has 648 divisors, whose sum is σ = 4984212240. Its totient is φ = 263208960.

The previous prime is 1160006387. The next prime is 1160006401. The reversal of 1160006400 is 46000611.

1160006400 is a `hidden beast` number, since 1 + 1 + 600 + 0 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×1160006400² = 2691229696081920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1160006401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8467132 + ... + 8467268.

Almost surely, 2^1160006400 is an apocalyptic number.

1160006400 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 1160006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492106120).

1160006400 is an abundant number, since it is smaller than the sum of its proper divisors (3824205840).

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

1160006400 is a wasteful number, since it uses less digits than its factorization.

1160006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1160006400 is about 34058.8666869583. The cubic root of 1160006400 is about 1050.7195068492.

The spelling of 1160006400 in words is "one billion, one hundred sixty million, six thousand, four hundred".