1187146080 has 288 divisors, whose sum is σ = 4192624800. Its totient is φ = 305750016.

The previous prime is 1187146067. The next prime is 1187146097. The reversal of 1187146080 is 806417811.

1187146080 is a `hidden beast` number, since 118 + 7 + 1 + 460 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7561362 + ... + 7561518.

It is an arithmetic number, because the mean of its divisors is an integer number (14557725).

Almost surely, 2^1187146080 is an apocalyptic number.

1187146080 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 1187146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096312400).

1187146080 is an abundant number, since it is smaller than the sum of its proper divisors (3005478720).

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

1187146080 is a wasteful number, since it uses less digits than its factorization.

1187146080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

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

The square root of 1187146080 is about 34454.9862864579. The cubic root of 1187146080 is about 1058.8506826152.

The spelling of 1187146080 in words is "one billion, one hundred eighty-seven million, one hundred forty-six thousand, eighty".