396061120 has 336 divisors, whose sum is σ = 1240475040. Its totient is φ = 119218176.

The previous prime is 396061079. The next prime is 396061129. The reversal of 396061120 is 21160693.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396061129) 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, 5911327 + ... + 5911393.

It is an arithmetic number, because the mean of its divisors is an integer number (3691890).

Almost surely, 2^396061120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620237520).

396061120 is an abundant number, since it is smaller than the sum of its proper divisors (844413920).

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

396061120 is a wasteful number, since it uses less digits than its factorization.

396061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 396061120 is about 19901.2843806625. The cubic root of 396061120 is about 734.3798245526.

The spelling of 396061120 in words is "three hundred ninety-six million, sixty-one thousand, one hundred twenty".