1164741120 has 400 divisors, whose sum is σ = 4304677608. Its totient is φ = 300810240.

The previous prime is 1164741107. The next prime is 1164741143. The reversal of 1164741120 is 211474611.

1164741120 is a `hidden beast` number, since 1 + 1 + 647 + 4 + 1 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 679332096 + 485409024 = 26064^2 + 22032^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8501692 + ... + 8501828.

Almost surely, 2^1164741120 is an apocalyptic number.

1164741120 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 1164741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152338804).

1164741120 is an abundant number, since it is smaller than the sum of its proper divisors (3139936488).

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

1164741120 is an equidigital number, since it uses as much as digits as its factorization.

1164741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1164741120 is about 34128.3037961162. The cubic root of 1164741120 is about 1052.1471166306.

The spelling of 1164741120 in words is "one billion, one hundred sixty-four million, seven hundred forty-one thousand, one hundred twenty".