1187040096 has 480 divisors, whose sum is σ = 4215214080. Its totient is φ = 323481600.

The previous prime is 1187040061. The next prime is 1187040137. The reversal of 1187040096 is 6900407811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1187040096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15025785 + ... + 15025863.

It is an arithmetic number, because the mean of its divisors is an integer number (8781696).

Almost surely, 2^1187040096 is an apocalyptic number.

1187040096 is a gapful number since it is divisible by the number (16) 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 1187040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107607040).

1187040096 is an abundant number, since it is smaller than the sum of its proper divisors (3028173984).

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

1187040096 is a wasteful number, since it uses less digits than its factorization.

1187040096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1187040096 is about 34453.4482454224. The cubic root of 1187040096 is about 1058.8191715899.

The spelling of 1187040096 in words is "one billion, one hundred eighty-seven million, forty thousand, ninety-six".