120685440 has 128 divisors (see below), whose sum is σ = 387763200. Its totient is φ = 31926272.

The previous prime is 120685423. The next prime is 120685457. The reversal of 120685440 is 44586021.

It is an interprime number because it is at equal distance from previous prime (120685423) and next prime (120685457).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 120685398 and 120685407.

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, 458749 + ... + 459011.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^120685440 is an apocalyptic number.

120685440 is a gapful number since it is divisible by the number (10) 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 120685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881600).

120685440 is an abundant number, since it is smaller than the sum of its proper divisors (267077760).

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

120685440 is a wasteful number, since it uses less digits than its factorization.

120685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 120685440 is about 10985.6925134468. The cubic root of 120685440 is about 494.1797659665.

The spelling of 120685440 in words is "one hundred twenty million, six hundred eighty-five thousand, four hundred forty".