1161307600 has 60 divisors (see below), whose sum is σ = 2821476780. Its totient is φ = 459289600.

The previous prime is 1161307597. The next prime is 1161307601. The reversal of 1161307600 is 67031611.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 76527504 + 1084780096 = 8748^2 + 32936^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161307601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19290 + ... + 51910.

It is an arithmetic number, because the mean of its divisors is an integer number (47024613).

Almost surely, 2^1161307600 is an apocalyptic number.

1161307600 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 1161307600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410738390).

1161307600 is an abundant number, since it is smaller than the sum of its proper divisors (1660169180).

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

1161307600 is a wasteful number, since it uses less digits than its factorization.

1161307600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32728 (or 32717 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 1161307600 is about 34077.9635541797. The cubic root of 1161307600 is about 1051.1122303542.

The spelling of 1161307600 in words is "one billion, one hundred sixty-one million, three hundred seven thousand, six hundred".