9513936 has 60 divisors (see below), whose sum is σ = 27623232. Its totient is φ = 3170016.

The previous prime is 9513923. The next prime is 9513937. The reversal of 9513936 is 6393159.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9513936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9513937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2665 + ... + 5111.

Almost surely, 2^9513936 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 9513936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13811616).

9513936 is an abundant number, since it is smaller than the sum of its proper divisors (18109296).

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

9513936 is a wasteful number, since it uses less digits than its factorization.

9513936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2452 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 9513936 is about 3084.4668907284. The cubic root of 9513936 is about 211.8946907849.

The spelling of 9513936 in words is "nine million, five hundred thirteen thousand, nine hundred thirty-six".