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BaseRepresentation
bin10010110101000
3111020001
42112220
5302030
6112344
740051
oct22650
914201
109640
117274
1256b4
134507
143728
152cca
hex25a8

9640 has 16 divisors (see below), whose sum is σ = 21780. Its totient is φ = 3840.

The previous prime is 9631. The next prime is 9643. The reversal of 9640 is 469.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 36 = 98^2 + 6^2 .

It is a plaindrome in base 6.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81 + ... + 160.

29640 is an apocalyptic number.

It is an amenable number.

9640 is an abundant number, since it is smaller than the sum of its proper divisors (12140).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10890).

9640 is a wasteful number, since it uses less digits than its factorization.

9640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 9640 is about 98.1835016691. The cubic root of 9640 is about 21.2826487742.

It can be divided in two parts, 96 and 40, that added together give a triangular number (136 = T16).

The spelling of 9640 in words is "nine thousand, six hundred forty".