1161563040 has 144 divisors (see below), whose sum is σ = 4324241376. Its totient is φ = 281587200.

The previous prime is 1161563027. The next prime is 1161563057. The reversal of 1161563040 is 403651611.

1161563040 is a `hidden beast` number, since 1 + 1 + 61 + 563 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1161562995 and 1161563013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20826 + ... + 52505.

It is an arithmetic number, because the mean of its divisors is an integer number (30029454).

Almost surely, 2^1161563040 is an apocalyptic number.

1161563040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1161563040 is an abundant number, since it is smaller than the sum of its proper divisors (3162678336).

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

1161563040 is a wasteful number, since it uses less digits than its factorization.

1161563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73363 (or 73352 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1161563040 is about 34081.7112246436. The cubic root of 1161563040 is about 1051.1892918851.

The spelling of 1161563040 in words is "one billion, one hundred sixty-one million, five hundred sixty-three thousand, forty".