1187778168 has 192 divisors, whose sum is σ = 3572674560. Its totient is φ = 368395776.

The previous prime is 1187778149. The next prime is 1187778197. The reversal of 1187778168 is 8618777811.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1053696) is a multiple of the sum of its prime factors (448).

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, 4196955 + ... + 4197237.

It is an arithmetic number, because the mean of its divisors is an integer number (18607680).

Almost surely, 2^1187778168 is an apocalyptic number.

1187778168 is a gapful number since it is divisible by the number (18) 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 1187778168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786337280).

1187778168 is an abundant number, since it is smaller than the sum of its proper divisors (2384896392).

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

1187778168 is a wasteful number, since it uses less digits than its factorization.

1187778168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 54.

The square root of 1187778168 is about 34464.1577294441. The cubic root of 1187778168 is about 1059.0385752627.

The spelling of 1187778168 in words is "one billion, one hundred eighty-seven million, seven hundred seventy-eight thousand, one hundred sixty-eight".