1187364864 has 360 divisors, whose sum is σ = 4034273040. Its totient is φ = 308281344.

The previous prime is 1187364863. The next prime is 1187364877. The reversal of 1187364864 is 4684637811.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187364863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40943602 + ... + 40943630.

It is an arithmetic number, because the mean of its divisors is an integer number (11206314).

Almost surely, 2^1187364864 is an apocalyptic number.

1187364864 is a gapful number since it is divisible by the number (14) 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 1187364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017136520).

1187364864 is an abundant number, since it is smaller than the sum of its proper divisors (2846908176).

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

1187364864 is an equidigital number, since it uses as much as digits as its factorization.

1187364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 1187364864 is about 34458.1610652687. The cubic root of 1187364864 is about 1058.9157252588.

The spelling of 1187364864 in words is "one billion, one hundred eighty-seven million, three hundred sixty-four thousand, eight hundred sixty-four".