264132000 has 576 divisors, whose sum is σ = 1103880960. Its totient is φ = 59136000.

The previous prime is 264131983. The next prime is 264132017. The reversal of 264132000 is 231462.

It is a happy number.

264132000 is a `hidden beast` number, since 2 + 641 + 3 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (264131983) and next prime (264132017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9107986 + ... + 9108014.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^264132000 is an apocalyptic number.

264132000 is a gapful number since it is divisible by the number (20) 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 264132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551940480).

264132000 is an abundant number, since it is smaller than the sum of its proper divisors (839748960).

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

264132000 is a wasteful number, since it uses less digits than its factorization.

264132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 264132000 is about 16252.1383208487. The cubic root of 264132000 is about 641.6137659955.

Adding to 264132000 its reverse (231462), we get a palindrome (264363462).

The spelling of 264132000 in words is "two hundred sixty-four million, one hundred thirty-two thousand".