120410640 has 180 divisors, whose sum is σ = 470537964. Its totient is φ = 27514368.

The previous prime is 120410629. The next prime is 120410651. The reversal of 120410640 is 46014021.

120410640 is a `hidden beast` number, since 1 + 20 + 4 + 1 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (120410629) and next prime (120410651).

It can be written as a sum of positive squares in 2 ways, for example, as 83832336 + 36578304 = 9156^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 33574 + ... + 36986.

Almost surely, 2^120410640 is an apocalyptic number.

120410640 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 120410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235268982).

120410640 is an abundant number, since it is smaller than the sum of its proper divisors (350127324).

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

120410640 is a wasteful number, since it uses less digits than its factorization.

120410640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120410640 is about 10973.1782087051. The cubic root of 120410640 is about 493.8043994968.

Adding to 120410640 its reverse (46014021), we get a palindrome (166424661).

The spelling of 120410640 in words is "one hundred twenty million, four hundred ten thousand, six hundred forty".