1187642560 has 112 divisors (see below), whose sum is σ = 3089282112. Its totient is φ = 432230400.

The previous prime is 1187642503. The next prime is 1187642567. The reversal of 1187642560 is 652467811.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1187642567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293350 + ... + 297370.

It is an arithmetic number, because the mean of its divisors is an integer number (27582876).

Almost surely, 2^1187642560 is an apocalyptic number.

1187642560 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 1187642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544641056).

1187642560 is an abundant number, since it is smaller than the sum of its proper divisors (1901639552).

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

1187642560 is a wasteful number, since it uses less digits than its factorization.

1187642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1187642560 is about 34462.1902960331. The cubic root of 1187642560 is about 1058.9982704390.

The spelling of 1187642560 in words is "one billion, one hundred eighty-seven million, six hundred forty-two thousand, five hundred sixty".