1261178160 has 240 divisors, whose sum is σ = 4342409568. Its totient is φ = 302551040.

The previous prime is 1261178153. The next prime is 1261178173. The reversal of 1261178160 is 618711621.

It is a happy number.

1261178160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 3978322 + ... + 3978638.

Almost surely, 2^1261178160 is an apocalyptic number.

1261178160 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 1261178160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171204784).

1261178160 is an abundant number, since it is smaller than the sum of its proper divisors (3081231408).

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

1261178160 is a wasteful number, since it uses less digits than its factorization.

1261178160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 1261178160 is about 35513.0702699724. The cubic root of 1261178160 is about 1080.4188361779.

Adding to 1261178160 its reverse (618711621), we get a palindrome (1879889781).

The spelling of 1261178160 in words is "one billion, two hundred sixty-one million, one hundred seventy-eight thousand, one hundred sixty".