1161462120 has 512 divisors, whose sum is σ = 4582932480. Its totient is φ = 228925440.

The previous prime is 1161462097. The next prime is 1161462131. The reversal of 1161462120 is 212641611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15910404 + ... + 15910476.

It is an arithmetic number, because the mean of its divisors is an integer number (8951040).

Almost surely, 2^1161462120 is an apocalyptic number.

1161462120 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 1161462120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291466240).

1161462120 is an abundant number, since it is smaller than the sum of its proper divisors (3421470360).

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

1161462120 is a wasteful number, since it uses less digits than its factorization.

1161462120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1161462120 is about 34080.2306330224. The cubic root of 1161462120 is about 1051.1588475349.

The spelling of 1161462120 in words is "one billion, one hundred sixty-one million, four hundred sixty-two thousand, one hundred twenty".