120788640 has 288 divisors, whose sum is σ = 492500736. Its totient is φ = 26357760.

The previous prime is 120788639. The next prime is 120788641. The reversal of 120788640 is 46887021.

120788640 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 8 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (120788639) and next prime (120788641).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120788595 and 120788604.

It is not an unprimeable number, because it can be changed into a prime (120788641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231580 + ... + 232100.

It is an arithmetic number, because the mean of its divisors is an integer number (1710072).

Almost surely, 2^120788640 is an apocalyptic number.

120788640 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 120788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246250368).

120788640 is an abundant number, since it is smaller than the sum of its proper divisors (371712096).

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

120788640 is a wasteful number, since it uses less digits than its factorization.

120788640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 120788640 is about 10990.3885281641. The cubic root of 120788640 is about 494.3205861073.

The spelling of 120788640 in words is "one hundred twenty million, seven hundred eighty-eight thousand, six hundred forty".