1187883840 has 448 divisors, whose sum is σ = 4700747520. Its totient is φ = 249692160.

The previous prime is 1187883839. The next prime is 1187883869. The reversal of 1187883840 is 483887811.

It is a super-2 number, since 2×1187883840² = 2822136034666291200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1187883840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333506 + ... + 2334014.

It is an arithmetic number, because the mean of its divisors is an integer number (10492740).

Almost surely, 2^1187883840 is an apocalyptic number.

1187883840 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 1187883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350373760).

1187883840 is an abundant number, since it is smaller than the sum of its proper divisors (3512863680).

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

1187883840 is a wasteful number, since it uses less digits than its factorization.

1187883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 1187883840 is about 34465.6907663259. The cubic root of 1187883840 is about 1059.0699805112.

The spelling of 1187883840 in words is "one billion, one hundred eighty-seven million, eight hundred eighty-three thousand, eight hundred forty".