9649920 has 144 divisors (see below), whose sum is σ = 35320320. Its totient is φ = 2199552.

The previous prime is 9649919. The next prime is 9649921. The reversal of 9649920 is 299469.

It is an interprime number because it is at equal distance from previous prime (9649919) and next prime (9649921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9649921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26701 + ... + 27059.

It is an arithmetic number, because the mean of its divisors is an integer number (245280).

Almost surely, 2^9649920 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 9649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

9649920 is an abundant number, since it is smaller than the sum of its proper divisors (25670400).

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

9649920 is a wasteful number, since it uses less digits than its factorization.

9649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 9649920 is about 3106.4320369195. The cubic root of 9649920 is about 212.8994654391.

The spelling of 9649920 in words is "nine million, six hundred forty-nine thousand, nine hundred twenty".