120726264 has 96 divisors (see below), whose sum is σ = 325296720. Its totient is φ = 37306368.

The previous prime is 120726233. The next prime is 120726289. The reversal of 120726264 is 462627021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469624 + ... + 469880.

Almost surely, 2^120726264 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 120726264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162648360).

120726264 is an abundant number, since it is smaller than the sum of its proper divisors (204570456).

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

120726264 is a wasteful number, since it uses less digits than its factorization.

120726264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 120726264 is about 10987.5504094407. The cubic root of 120726264 is about 494.2354813878.

It can be divided in two parts, 12072 and 6264, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 120726264 in words is "one hundred twenty million, seven hundred twenty-six thousand, two hundred sixty-four".