120416640 has 128 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 31537152.

The previous prime is 120416633. The next prime is 120416651. The reversal of 120416640 is 46614021.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120416640.

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, 112749 + ... + 113811.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2^120416640 is an apocalyptic number.

120416640 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 120416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

120416640 is an abundant number, since it is smaller than the sum of its proper divisors (270284160).

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

120416640 is a wasteful number, since it uses less digits than its factorization.

120416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 120416640 is about 10973.4515992007. The cubic root of 120416640 is about 493.8126013667.

It can be divided in two parts, 12041 and 6640, that added together give a palindrome (18681).

The spelling of 120416640 in words is "one hundred twenty million, four hundred sixteen thousand, six hundred forty".