9257040 has 240 divisors, whose sum is σ = 35747712. Its totient is φ = 2128896.

The previous prime is 9257029. The next prime is 9257069. The reversal of 9257040 is 407529.

9257040 = 91² + 92² + ... + 305².

9257040 is a `hidden beast` number, since 92 + 570 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 9256995 and 9257013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215259 + ... + 215301.

Almost surely, 2^9257040 is an apocalyptic number.

9257040 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 9257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

9257040 is an abundant number, since it is smaller than the sum of its proper divisors (26490672).

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

9257040 is a wasteful number, since it uses less digits than its factorization.

9257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 9257040 is about 3042.5384138906. The cubic root of 9257040 is about 209.9700637599.

It can be divided in two parts, 9 and 257040, that added together give a square (257049 = 507²).

The spelling of 9257040 in words is "nine million, two hundred fifty-seven thousand, forty".