1099512960 has 768 divisors, whose sum is σ = 4688409600. Its totient is φ = 216760320.

The previous prime is 1099512959. The next prime is 1099513001. The reversal of 1099512960 is 692159901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35468145 + ... + 35468175.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2^1099512960 is an apocalyptic number.

1099512960 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 1099512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344204800).

1099512960 is an abundant number, since it is smaller than the sum of its proper divisors (3588896640).

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

1099512960 is a wasteful number, since it uses less digits than its factorization.

1099512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 1099512960 is about 33158.9046863735. The cubic root of 1099512960 is about 1032.1277409330.

The spelling of 1099512960 in words is "one billion, ninety-nine million, five hundred twelve thousand, nine hundred sixty".