264153120 has 288 divisors, whose sum is σ = 1056960576. Its totient is φ = 54835200.

The previous prime is 264153053. The next prime is 264153121. The reversal of 264153120 is 21351462.

264153120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (264153121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258210 + ... + 259230.

It is an arithmetic number, because the mean of its divisors is an integer number (3670002).

Almost surely, 2^264153120 is an apocalyptic number.

264153120 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 264153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528480288).

264153120 is an abundant number, since it is smaller than the sum of its proper divisors (792807456).

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

264153120 is a wasteful number, since it uses less digits than its factorization.

264153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 264153120 is about 16252.7880685130. The cubic root of 264153120 is about 641.6308666895.

It can be divided in two parts, 2641531 and 20, that added together give a triangular number (2641551 = T₂₂₉₈).

The spelling of 264153120 in words is "two hundred sixty-four million, one hundred fifty-three thousand, one hundred twenty".