1147872960 has 672 divisors, whose sum is σ = 4686409728. Its totient is φ = 255467520.

The previous prime is 1147872899. The next prime is 1147872967. The reversal of 1147872960 is 692787411.

It is a happy number.

It is a super-2 number, since 2×1147872960² = 2635224664598323200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1147872967) 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, 26694699 + ... + 26694741.

It is an arithmetic number, because the mean of its divisors is an integer number (6973824).

Almost surely, 2^1147872960 is an apocalyptic number.

1147872960 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 1147872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343204864).

1147872960 is an abundant number, since it is smaller than the sum of its proper divisors (3538536768).

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

1147872960 is a wasteful number, since it uses less digits than its factorization.

1147872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1147872960 is about 33880.2739068031. The cubic root of 1147872960 is about 1047.0432189886.

The spelling of 1147872960 in words is "one billion, one hundred forty-seven million, eight hundred seventy-two thousand, nine hundred sixty".