1164164400 has 720 divisors, whose sum is σ = 5037177600. Its totient is φ = 252564480.

The previous prime is 1164164399. The next prime is 1164164467. The reversal of 1164164400 is 44614611.

1164164400 is a `hidden beast` number, since 1 + 16 + 4 + 1 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×1164164400³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19731571 + ... + 19731629.

It is an arithmetic number, because the mean of its divisors is an integer number (6996080).

Almost surely, 2^1164164400 is an apocalyptic number.

1164164400 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 1164164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518588800).

1164164400 is an abundant number, since it is smaller than the sum of its proper divisors (3873013200).

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

1164164400 is a wasteful number, since it uses less digits than its factorization.

1164164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1164164400 is about 34119.8534580675. The cubic root of 1164164400 is about 1051.9734315506.

The spelling of 1164164400 in words is "one billion, one hundred sixty-four million, one hundred sixty-four thousand, four hundred".