9531936 has 72 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 3037056.

The previous prime is 9531931. The next prime is 9531943. The reversal of 9531936 is 6391359.

It is a tau number, because it is divible by the number of its divisors (72).

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 9531936.

It is not an unprimeable number, because it can be changed into a prime (9531931) 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, 5905 + ... + 7343.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^9531936 is an apocalyptic number.

9531936 is a gapful number since it is divisible by the number (96) 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 9531936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

9531936 is an abundant number, since it is smaller than the sum of its proper divisors (18772704).

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

9531936 is a wasteful number, since it uses less digits than its factorization.

9531936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1467 counting only the distinct ones).

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

The square root of 9531936 is about 3087.3833581206. The cubic root of 9531936 is about 212.0282387921.

The spelling of 9531936 in words is "nine million, five hundred thirty-one thousand, nine hundred thirty-six".