9745890 has 64 divisors (see below), whose sum is σ = 29168640. Its totient is φ = 2024640.

The previous prime is 9745889. The next prime is 9745891. The reversal of 9745890 is 985479.

9745890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9745889) and next prime (9745891).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9745891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201 + ... + 4419.

It is an arithmetic number, because the mean of its divisors is an integer number (455760).

Almost surely, 2^9745890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9745890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584320).

9745890 is an abundant number, since it is smaller than the sum of its proper divisors (19422750).

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

9745890 is a wasteful number, since it uses less digits than its factorization.

9745890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 9745890 is about 3121.8408031160. The cubic root of 9745890 is about 213.6029116998.

The spelling of 9745890 in words is "nine million, seven hundred forty-five thousand, eight hundred ninety".