9440640 has 192 divisors, whose sum is σ = 35802000. Its totient is φ = 2273280.

The previous prime is 9440621. The next prime is 9440653. The reversal of 9440640 is 460449.

9440640 = 387² + 388² + ... + 441².

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63286 + ... + 63434.

Almost surely, 2^9440640 is an apocalyptic number.

9440640 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 9440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17901000).

9440640 is an abundant number, since it is smaller than the sum of its proper divisors (26361360).

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

9440640 is a wasteful number, since it uses less digits than its factorization.

9440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

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

The square root of 9440640 is about 3072.5624485110. The cubic root of 9440640 is about 211.3491370876.

Subtracting from 9440640 its product of nonzero digits (3456), we obtain a square (9437184 = 3072²).

The spelling of 9440640 in words is "nine million, four hundred forty thousand, six hundred forty".