1161061776 has 240 divisors, whose sum is σ = 3958607744. Its totient is φ = 322486272.

The previous prime is 1161061763. The next prime is 1161061799. The reversal of 1161061776 is 6771601611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1161061776.

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, 1006416 + ... + 1007568.

Almost surely, 2^1161061776 is an apocalyptic number.

1161061776 is a gapful number since it is divisible by the number (16) 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 1161061776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979303872).

1161061776 is an abundant number, since it is smaller than the sum of its proper divisors (2797545968).

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

1161061776 is a wasteful number, since it uses less digits than its factorization.

1161061776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1161061776 is about 34074.3565749964. The cubic root of 1161061776 is about 1051.0380591221.

The spelling of 1161061776 in words is "one billion, one hundred sixty-one million, sixty-one thousand, seven hundred seventy-six".