120420640 has 96 divisors (see below), whose sum is σ = 304166016. Its totient is φ = 44943360.

The previous prime is 120420637. The next prime is 120420659. The reversal of 120420640 is 46024021.

It is a super-2 number, since 2×120420640² = 29002261076019200, 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157860 + ... + 158620.

It is an arithmetic number, because the mean of its divisors is an integer number (3168396).

Almost surely, 2^120420640 is an apocalyptic number.

120420640 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 120420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152083008).

120420640 is an abundant number, since it is smaller than the sum of its proper divisors (183745376).

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

120420640 is a wasteful number, since it uses less digits than its factorization.

120420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 120420640 is about 10973.6338557471. The cubic root of 120420640 is about 493.8180691285.

Adding to 120420640 its reverse (46024021), we get a palindrome (166444661).

The spelling of 120420640 in words is "one hundred twenty million, four hundred twenty thousand, six hundred forty".