1187345790 has 240 divisors, whose sum is σ = 3555489168. Its totient is φ = 283295232.

The previous prime is 1187345771. The next prime is 1187345791. The reversal of 1187345790 is 975437811.

1187345790 is a `hidden beast` number, since 1 + 1 + 8 + 73 + 4 + 579 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187345791) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7284249 + ... + 7284411.

Almost surely, 2^1187345790 is an apocalyptic number.

1187345790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1187345790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777744584).

1187345790 is an abundant number, since it is smaller than the sum of its proper divisors (2368143378).

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

1187345790 is a wasteful number, since it uses less digits than its factorization.

1187345790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1187345790 is about 34457.8842937288. The cubic root of 1187345790 is about 1058.9100550369.

The spelling of 1187345790 in words is "one billion, one hundred eighty-seven million, three hundred forty-five thousand, seven hundred ninety".