60900120 has 256 divisors, whose sum is σ = 223948800. Its totient is φ = 14653440.

The previous prime is 60900061. The next prime is 60900121. The reversal of 60900120 is 2100906.

60900120 = 41² + 42² + ... + 567².

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

It is a junction number, because it is equal to n+sod(n) for n = 60900093 and 60900102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60900121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569107 + ... + 569213.

It is an arithmetic number, because the mean of its divisors is an integer number (874800).

Almost surely, 2^60900120 is an apocalyptic number.

60900120 is a gapful number since it is divisible by the number (60) 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 60900120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111974400).

60900120 is an abundant number, since it is smaller than the sum of its proper divisors (163048680).

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

60900120 is a wasteful number, since it uses less digits than its factorization.

60900120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 60900120 is about 7803.8528945643. The cubic root of 60900120 is about 393.4347499347.

The spelling of 60900120 in words is "sixty million, nine hundred thousand, one hundred twenty".