1164415620 has 96 divisors (see below), whose sum is σ = 3329254656. Its totient is φ = 304012800.

The previous prime is 1164415613. The next prime is 1164415631. The reversal of 1164415620 is 265144611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667950 + ... + 669690.

It is an arithmetic number, because the mean of its divisors is an integer number (34679736).

Almost surely, 2^1164415620 is an apocalyptic number.

1164415620 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 1164415620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664627328).

1164415620 is an abundant number, since it is smaller than the sum of its proper divisors (2164839036).

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

1164415620 is a wasteful number, since it uses less digits than its factorization.

1164415620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1164415620 is about 34123.5346938151. The cubic root of 1164415620 is about 1052.0490960524.

The spelling of 1164415620 in words is "one billion, one hundred sixty-four million, four hundred fifteen thousand, six hundred twenty".