1163972880 has 240 divisors, whose sum is σ = 4498950144. Its totient is φ = 264176640.

The previous prime is 1163972863. The next prime is 1163972893. The reversal of 1163972880 is 882793611.

1163972880 is a `hidden beast` number, since 1 + 1 + 639 + 7 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 790545 + ... + 792015.

Almost surely, 2^1163972880 is an apocalyptic number.

1163972880 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 1163972880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249475072).

1163972880 is an abundant number, since it is smaller than the sum of its proper divisors (3334977264).

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

1163972880 is a wasteful number, since it uses less digits than its factorization.

1163972880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1163972880 is about 34117.0467655101. The cubic root of 1163972880 is about 1051.9157406720.

The spelling of 1163972880 in words is "one billion, one hundred sixty-three million, nine hundred seventy-two thousand, eight hundred eighty".