120682464 has 96 divisors (see below), whose sum is σ = 369847296. Its totient is φ = 33738240.

The previous prime is 120682451. The next prime is 120682481. The reversal of 120682464 is 464286021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120682464² = 29128514234222592, which contains 22 as substring.

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, 29674 + ... + 33494.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2^120682464 is an apocalyptic number.

120682464 is a gapful number since it is divisible by the number (14) 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 120682464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

120682464 is an abundant number, since it is smaller than the sum of its proper divisors (249164832).

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

120682464 is a wasteful number, since it uses less digits than its factorization.

120682464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 120682464 is about 10985.5570637087. The cubic root of 120682464 is about 494.1757039159.

The spelling of 120682464 in words is "one hundred twenty million, six hundred eighty-two thousand, four hundred sixty-four".