120284736 has 168 divisors, whose sum is σ = 377061984. Its totient is φ = 33546240.

The previous prime is 120284729. The next prime is 120284737. The reversal of 120284736 is 637482021.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 120284697 and 120284706.

It is not an unprimeable number, because it can be changed into a prime (120284737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356760 + ... + 357096.

Almost surely, 2^120284736 is an apocalyptic number.

120284736 is a gapful number since it is divisible by the number (16) 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 120284736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188530992).

120284736 is an abundant number, since it is smaller than the sum of its proper divisors (256777248).

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

120284736 is a wasteful number, since it uses less digits than its factorization.

120284736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 120284736 is about 10967.4398106395. The cubic root of 120284736 is about 493.6322285791.

The spelling of 120284736 in words is "one hundred twenty million, two hundred eighty-four thousand, seven hundred thirty-six".