1187897760 has 288 divisors, whose sum is σ = 4664604672. Its totient is φ = 269660160.

The previous prime is 1187897749. The next prime is 1187897761. The reversal of 1187897760 is 677987811.

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

It is a super-2 number, since 2×1187897760² = 2822202176426035200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1187897697 and 1187897706.

It is not an unprimeable number, because it can be changed into a prime (1187897761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1924972 + ... + 1925588.

It is an arithmetic number, because the mean of its divisors is an integer number (16196544).

Almost surely, 2^1187897760 is an apocalyptic number.

1187897760 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 1187897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332302336).

1187897760 is an abundant number, since it is smaller than the sum of its proper divisors (3476706912).

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

1187897760 is a wasteful number, since it uses less digits than its factorization.

1187897760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The square root of 1187897760 is about 34465.8927056880. The cubic root of 1187897760 is about 1059.0741173345.

The spelling of 1187897760 in words is "one billion, one hundred eighty-seven million, eight hundred ninety-seven thousand, seven hundred sixty".