1187074560 has 320 divisors, whose sum is σ = 4412289024. Its totient is φ = 266649600.

The previous prime is 1187074547. The next prime is 1187074573. The reversal of 1187074560 is 654707811.

It is an interprime number because it is at equal distance from previous prime (1187074547) and next prime (1187074573).

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3816805 + ... + 3817115.

Almost surely, 2^1187074560 is an apocalyptic number.

1187074560 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 1187074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206144512).

1187074560 is an abundant number, since it is smaller than the sum of its proper divisors (3225214464).

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

1187074560 is an equidigital number, since it uses as much as digits as its factorization.

1187074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 1187074560 is about 34453.9483949228. The cubic root of 1187074560 is about 1058.8294185874.

The spelling of 1187074560 in words is "one billion, one hundred eighty-seven million, seventy-four thousand, five hundred sixty".