264213600 has 144 divisors (see below), whose sum is σ = 982937088. Its totient is φ = 60387840.

The previous prime is 264213517. The next prime is 264213619. The reversal of 264213600 is 6312462.

It is a super-3 number, since 3×264213600³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8937 + ... + 24663.

It is an arithmetic number, because the mean of its divisors is an integer number (6825952).

Almost surely, 2^264213600 is an apocalyptic number.

264213600 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 264213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491468544).

264213600 is an abundant number, since it is smaller than the sum of its proper divisors (718723488).

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

264213600 is a wasteful number, since it uses less digits than its factorization.

264213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15757 (or 15744 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 264213600 is about 16254.6485658719. The cubic root of 264213600 is about 641.6798318170.

The spelling of 264213600 in words is "two hundred sixty-four million, two hundred thirteen thousand, six hundred".