120604680 has 384 divisors, whose sum is σ = 487555200. Its totient is φ = 26417664.

The previous prime is 120604633. The next prime is 120604691. The reversal of 120604680 is 86406021.

120604680 = 1180² + 1181² + ... + 1260².

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2275534 + ... + 2275586.

It is an arithmetic number, because the mean of its divisors is an integer number (1269675).

Almost surely, 2^120604680 is an apocalyptic number.

120604680 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 120604680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243777600).

120604680 is an abundant number, since it is smaller than the sum of its proper divisors (366950520).

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

120604680 is a wasteful number, since it uses less digits than its factorization.

120604680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120604680 is about 10982.0162083290. The cubic root of 120604680 is about 494.0695100165.

The spelling of 120604680 in words is "one hundred twenty million, six hundred four thousand, six hundred eighty".