1187911680 has 96 divisors (see below), whose sum is σ = 3800487600. Its totient is φ = 316768256.

The previous prime is 1187911663. The next prime is 1187911691. The reversal of 1187911680 is 861197811.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1187911680² = 2822268318960844800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11386 + ... + 50054.

Almost surely, 2^1187911680 is an apocalyptic number.

1187911680 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 1187911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900243800).

1187911680 is an abundant number, since it is smaller than the sum of its proper divisors (2612575920).

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

1187911680 is an equidigital number, since it uses as much as digits as its factorization.

1187911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38699 (or 38679 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 42.

The square root of 1187911680 is about 34466.0946438670. The cubic root of 1187911680 is about 1059.0782541254.

The spelling of 1187911680 in words is "one billion, one hundred eighty-seven million, nine hundred eleven thousand, six hundred eighty".