396693120 has 128 divisors (see below), whose sum is σ = 1270463040. Its totient is φ = 105283584.

The previous prime is 396693107. The next prime is 396693133. The reversal of 396693120 is 21396693.

It is an interprime number because it is at equal distance from previous prime (396693107) and next prime (396693133).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589104 + ... + 589776.

Almost surely, 2^396693120 is an apocalyptic number.

396693120 is a gapful number since it is divisible by the number (30) 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 396693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635231520).

396693120 is an abundant number, since it is smaller than the sum of its proper divisors (873769920).

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

396693120 is a wasteful number, since it uses less digits than its factorization.

396693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 396693120 is about 19917.1564235460. The cubic root of 396693120 is about 734.7702368505.

The spelling of 396693120 in words is "three hundred ninety-six million, six hundred ninety-three thousand, one hundred twenty".