1187874240 has 224 divisors, whose sum is σ = 4403165184. Its totient is φ = 265666560.

The previous prime is 1187874227. The next prime is 1187874313. The reversal of 1187874240 is 424787811.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1187874240² = 2822090420111155200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1187874192 and 1187874201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313960 + ... + 317720.

Almost surely, 2^1187874240 is an apocalyptic number.

1187874240 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 1187874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201582592).

1187874240 is an abundant number, since it is smaller than the sum of its proper divisors (3215290944).

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

1187874240 is a wasteful number, since it uses less digits than its factorization.

1187874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 1187874240 is about 34465.5514971109. The cubic root of 1187874240 is about 1059.0671275108.

The spelling of 1187874240 in words is "one billion, one hundred eighty-seven million, eight hundred seventy-four thousand, two hundred forty".