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9750240 = 253353761

9750240 has 192 divisors, whose sum is σ = 35622720. Its totient is φ = 2488320.

The previous prime is 9750239. The next prime is 9750253. The reversal of 9750240 is 420579.

9750240 is nontrivially palindromic in base 11.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159810 + ... + 159870.

It is an arithmetic number, because the mean of its divisors is an integer number (185535).

Almost surely, 29750240 is an apocalyptic number.

9750240 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 9750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

9750240 is an abundant number, since it is smaller than the sum of its proper divisors (25872480).

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

9750240 is a wasteful number, since it uses less digits than its factorization.

9750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

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

The square root of 9750240 is about 3122.5374297196. The cubic root of 9750240 is about 213.6346869561.

The spelling of 9750240 in words is "nine million, seven hundred fifty thousand, two hundred forty".