1161177984 has 128 divisors (see below), whose sum is σ = 3440704800. Its totient is φ = 385523712.

The previous prime is 1161177973. The next prime is 1161177991. The reversal of 1161177984 is 4897711611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164174 + ... + 1165170.

Almost surely, 2^1161177984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161177984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720352400).

1161177984 is an abundant number, since it is smaller than the sum of its proper divisors (2279526816).

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

1161177984 is an equidigital number, since it uses as much as digits as its factorization.

1161177984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1339 counting only the distinct ones).

The product of its digits is 84672, while the sum is 45.

The square root of 1161177984 is about 34076.0617442803. The cubic root of 1161177984 is about 1051.0731232787.

The spelling of 1161177984 in words is "one billion, one hundred sixty-one million, one hundred seventy-seven thousand, nine hundred eighty-four".