1161630720 has 220 divisors, whose sum is σ = 4164113844. Its totient is φ = 309657600.

The previous prime is 1161630713. The next prime is 1161630731. The reversal of 1161630720 is 270361611.

1161630720 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 630 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 504631296 + 656999424 = 22464^2 + 25632^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413320 + ... + 416120.

Almost surely, 2^1161630720 is an apocalyptic number.

1161630720 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 1161630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082056922).

1161630720 is an abundant number, since it is smaller than the sum of its proper divisors (3002483124).

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

1161630720 is an equidigital number, since it uses as much as digits as its factorization.

1161630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1161630720 is about 34082.7041180714. The cubic root of 1161630720 is about 1051.2097077980.

The spelling of 1161630720 in words is "one billion, one hundred sixty-one million, six hundred thirty thousand, seven hundred twenty".