264069120 has 224 divisors, whose sum is σ = 968825088. Its totient is φ = 60162048.

The previous prime is 264069119. The next prime is 264069121. The reversal of 264069120 is 21960462.

It is an interprime number because it is at equal distance from previous prime (264069119) and next prime (264069121).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264069121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860007 + ... + 860313.

It is an arithmetic number, because the mean of its divisors is an integer number (4325112).

Almost surely, 2^264069120 is an apocalyptic number.

264069120 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 264069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484412544).

264069120 is an abundant number, since it is smaller than the sum of its proper divisors (704755968).

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

264069120 is an equidigital number, since it uses as much as digits as its factorization.

264069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 264069120 is about 16250.2036910311. The cubic root of 264069120 is about 641.5628471676.

The spelling of 264069120 in words is "two hundred sixty-four million, sixty-nine thousand, one hundred twenty".