1161309600 has 648 divisors, whose sum is σ = 4754445696. Its totient is φ = 266112000.

The previous prime is 1161309581. The next prime is 1161309619. The reversal of 1161309600 is 69031611.

It is an interprime number because it is at equal distance from previous prime (1161309581) and next prime (1161309619).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27007179 + ... + 27007221.

Almost surely, 2^1161309600 is an apocalyptic number.

1161309600 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 1161309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377222848).

1161309600 is an abundant number, since it is smaller than the sum of its proper divisors (3593136096).

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

1161309600 is a wasteful number, since it uses less digits than its factorization.

1161309600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1161309600 is about 34077.9928986435. The cubic root of 1161309600 is about 1051.1128337612.

The spelling of 1161309600 in words is "one billion, one hundred sixty-one million, three hundred nine thousand, six hundred".