1161800640 has 1008 divisors, whose sum is σ = 5568915456. Its totient is φ = 215654400.

The previous prime is 1161800611. The next prime is 1161800663. The reversal of 1161800640 is 460081611.

1161800640 is a `hidden beast` number, since 1 + 1 + 6 + 18 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37477425 + ... + 37477455.

Almost surely, 2^1161800640 is an apocalyptic number.

1161800640 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 1161800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784457728).

1161800640 is an abundant number, since it is smaller than the sum of its proper divisors (4407114816).

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

1161800640 is a wasteful number, since it uses less digits than its factorization.

1161800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1161800640 is about 34085.1967868751. The cubic root of 1161800640 is about 1051.2609612763.

The spelling of 1161800640 in words is "one billion, one hundred sixty-one million, eight hundred thousand, six hundred forty".