120746064 has 80 divisors (see below), whose sum is σ = 336089600. Its totient is φ = 37231488.

The previous prime is 120746057. The next prime is 120746071. The reversal of 120746064 is 460647021.

It is an interprime number because it is at equal distance from previous prime (120746057) and next prime (120746071).

It is a super-2 number, since 2×120746064² = 29159223942984192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37677 + ... + 40755.

It is an arithmetic number, because the mean of its divisors is an integer number (4201120).

Almost surely, 2^120746064 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 120746064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168044800).

120746064 is an abundant number, since it is smaller than the sum of its proper divisors (215343536).

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

120746064 is a wasteful number, since it uses less digits than its factorization.

120746064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3146 counting only the distinct ones).

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

The square root of 120746064 is about 10988.4513922572. The cubic root of 120746064 is about 494.2624993353.

The spelling of 120746064 in words is "one hundred twenty million, seven hundred forty-six thousand, sixty-four".