993463120 has 120 divisors (see below), whose sum is σ = 2520581976. Its totient is φ = 363976704.

The previous prime is 993463103. The next prime is 993463129. The reversal of 993463120 is 21364399.

993463120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 237653056 + 755810064 = 15416^2 + 27492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 993463120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993463129) 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, 2663254 + ... + 2663626.

Almost surely, 2^993463120 is an apocalyptic number.

993463120 is the 15760-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993463120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260290988).

993463120 is an abundant number, since it is smaller than the sum of its proper divisors (1527118856).

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

993463120 is a wasteful number, since it uses less digits than its factorization.

993463120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 993463120 is about 31519.2499910769. The cubic root of 993463120 is about 997.8162748155.

The spelling of 993463120 in words is "nine hundred ninety-three million, four hundred sixty-three thousand, one hundred twenty".