120075264 has 176 divisors, whose sum is σ = 367477440. Its totient is φ = 38707200.

The previous prime is 120075259. The next prime is 120075281. The reversal of 120075264 is 462570021.

It is a super-3 number, since 3×120075264³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188814 + ... + 1188914.

It is an arithmetic number, because the mean of its divisors is an integer number (2087940).

Almost surely, 2^120075264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738720).

120075264 is an abundant number, since it is smaller than the sum of its proper divisors (247402176).

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

120075264 is a wasteful number, since it uses less digits than its factorization.

120075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 120075264 is about 10957.8859274953. The cubic root of 120075264 is about 493.3455138621.

It can be divided in two parts, 12007 and 5264, that added together give a palindrome (17271).

The spelling of 120075264 in words is "one hundred twenty million, seventy-five thousand, two hundred sixty-four".