1164579840 has 264 divisors, whose sum is σ = 4087449600. Its totient is φ = 306561024.

The previous prime is 1164579839. The next prime is 1164579851. The reversal of 1164579840 is 489754611.

1164579840 is a `hidden beast` number, since 11 + 64 + 579 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5852061 + ... + 5852259.

Almost surely, 2^1164579840 is an apocalyptic number.

1164579840 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 1164579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043724800).

1164579840 is an abundant number, since it is smaller than the sum of its proper divisors (2922869760).

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

1164579840 is a wasteful number, since it uses less digits than its factorization.

1164579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1164579840 is about 34125.9408661505. The cubic root of 1164579840 is about 1052.0985512979.

The spelling of 1164579840 in words is "one billion, one hundred sixty-four million, five hundred seventy-nine thousand, eight hundred forty".