1161980460 has 144 divisors (see below), whose sum is σ = 3622705632. Its totient is φ = 301363200.

The previous prime is 1161980431. The next prime is 1161980461. The reversal of 1161980460 is 640891611.

It is a happy number.

1161980460 is a `hidden beast` number, since 1 + 1 + 6 + 198 + 0 + 460 = 666.

It is a super-3 number, since 3×1161980460³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1161980461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1064515 + ... + 1065605.

It is an arithmetic number, because the mean of its divisors is an integer number (25157678).

Almost surely, 2^1161980460 is an apocalyptic number.

1161980460 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 1161980460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811352816).

1161980460 is an abundant number, since it is smaller than the sum of its proper divisors (2460725172).

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

1161980460 is a wasteful number, since it uses less digits than its factorization.

1161980460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1161980460 is about 34087.8344868078. The cubic root of 1161980460 is about 1051.3151954790.

The spelling of 1161980460 in words is "one billion, one hundred sixty-one million, nine hundred eighty thousand, four hundred sixty".