1161687800 has 384 divisors, whose sum is σ = 3599769600. Its totient is φ = 338688000.

The previous prime is 1161687743. The next prime is 1161687803. The reversal of 1161687800 is 87861611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161687803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16361765 + ... + 16361835.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2^1161687800 is an apocalyptic number.

1161687800 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 1161687800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

1161687800 is an abundant number, since it is smaller than the sum of its proper divisors (2438081800).

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

1161687800 is a wasteful number, since it uses less digits than its factorization.

1161687800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 1161687800 is about 34083.5414826570. The cubic root of 1161687800 is about 1051.2269255668.

The spelling of 1161687800 in words is "one billion, one hundred sixty-one million, six hundred eighty-seven thousand, eight hundred".