1164672000 has 352 divisors, whose sum is σ = 4317368640. Its totient is φ = 309657600.

The previous prime is 1164671993. The next prime is 1164672007. The reversal of 1164672000 is 2764611.

1164672000 is a `hidden beast` number, since 11 + 646 + 7 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1164671993) and next prime (1164672007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164672007) by changing a digit.

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, 3455832 + ... + 3456168.

Almost surely, 2^1164672000 is an apocalyptic number.

1164672000 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 1164672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158684320).

1164672000 is an abundant number, since it is smaller than the sum of its proper divisors (3152696640).

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

1164672000 is an equidigital number, since it uses as much as digits as its factorization.

1164672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1164672000 is about 34127.2911318786. The cubic root of 1164672000 is about 1052.1263034656.

The spelling of 1164672000 in words is "one billion, one hundred sixty-four million, six hundred seventy-two thousand".