1187146800 has 480 divisors, whose sum is σ = 4959682560. Its totient is φ = 264038400.

The previous prime is 1187146789. The next prime is 1187146801. The reversal of 1187146800 is 86417811.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187146801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3099409 + ... + 3099791.

It is an arithmetic number, because the mean of its divisors is an integer number (10332672).

Almost surely, 2^1187146800 is an apocalyptic number.

1187146800 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 1187146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479841280).

1187146800 is an abundant number, since it is smaller than the sum of its proper divisors (3772535760).

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

1187146800 is a wasteful number, since it uses less digits than its factorization.

1187146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1187146800 is about 34454.9967348714. The cubic root of 1187146800 is about 1058.8508966783.

The spelling of 1187146800 in words is "one billion, one hundred eighty-seven million, one hundred forty-six thousand, eight hundred".