120362760 has 384 divisors, whose sum is σ = 487468800. Its totient is φ = 26127360.

The previous prime is 120362743. The next prime is 120362761. The reversal of 120362760 is 67263021.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (120362761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1973130 + ... + 1973190.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^120362760 is an apocalyptic number.

120362760 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 120362760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

120362760 is an abundant number, since it is smaller than the sum of its proper divisors (367106040).

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

120362760 is a wasteful number, since it uses less digits than its factorization.

120362760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 120362760 is about 10970.9963084489. The cubic root of 120362760 is about 493.7389388111.

The spelling of 120362760 in words is "one hundred twenty million, three hundred sixty-two thousand, seven hundred sixty".