9242640 has 160 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 2234880.

The previous prime is 9242633. The next prime is 9242641. The reversal of 9242640 is 462429.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9242641) 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, 23566 + ... + 23954.

It is an arithmetic number, because the mean of its divisors is an integer number (217620).

Almost surely, 2^9242640 is an apocalyptic number.

9242640 is a gapful number since it is divisible by the number (90) 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 9242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

9242640 is an abundant number, since it is smaller than the sum of its proper divisors (25576560).

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

9242640 is a wasteful number, since it uses less digits than its factorization.

9242640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 9242640 is about 3040.1710478195. The cubic root of 9242640 is about 209.8611326808.

The spelling of 9242640 in words is "nine million, two hundred forty-two thousand, six hundred forty".