1164526272 has 252 divisors, whose sum is σ = 4133179440. Its totient is φ = 306948096.

The previous prime is 1164526267. The next prime is 1164526277. The reversal of 1164526272 is 2726254611.

It is a happy number.

1164526272 is a `hidden beast` number, since 1 + 1 + 64 + 526 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1164526267) and next prime (1164526277).

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×1164526272² = 2712242876356435968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1164526277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 680554 + ... + 682262.

Almost surely, 2^1164526272 is an apocalyptic number.

1164526272 is a gapful number since it is divisible by the number (12) 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 1164526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066589720).

1164526272 is an abundant number, since it is smaller than the sum of its proper divisors (2968653168).

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

1164526272 is a wasteful number, since it uses less digits than its factorization.

1164526272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1734 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1164526272 is about 34125.1559996434. The cubic root of 1164526272 is about 1052.0824196776.

The spelling of 1164526272 in words is "one billion, one hundred sixty-four million, five hundred twenty-six thousand, two hundred seventy-two".