1187025840 has 960 divisors, whose sum is σ = 5641638912. Its totient is φ = 223948800.

The previous prime is 1187025839. The next prime is 1187025857. The reversal of 1187025840 is 485207811.

1187025840 is a `hidden beast` number, since 1 + 1 + 8 + 70 + 2 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1187025795 and 1187025804.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19459410 + ... + 19459470.

Almost surely, 2^1187025840 is an apocalyptic number.

1187025840 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 1187025840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820819456).

1187025840 is an abundant number, since it is smaller than the sum of its proper divisors (4454613072).

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

1187025840 is a wasteful number, since it uses less digits than its factorization.

1187025840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1187025840 is about 34453.2413569464. The cubic root of 1187025840 is about 1058.8149328714.

The spelling of 1187025840 in words is "one billion, one hundred eighty-seven million, twenty-five thousand, eight hundred forty".