10470240 has 144 divisors (see below), whose sum is σ = 39036816. Its totient is φ = 2534400.

The previous prime is 10470233. The next prime is 10470263. The reversal of 10470240 is 4207401.

It is a happy number.

10470240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15510 + ... + 16170.

It is an arithmetic number, because the mean of its divisors is an integer number (271089).

Almost surely, 2^10470240 is an apocalyptic number.

10470240 is a gapful number since it is divisible by the number (10) 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 10470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518408).

10470240 is an abundant number, since it is smaller than the sum of its proper divisors (28566576).

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

10470240 is a wasteful number, since it uses less digits than its factorization.

10470240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10470240 is about 3235.7750230818. The cubic root of 10470240 is about 218.7688810913.

Adding to 10470240 its reverse (4207401), we get a palindrome (14677641).

The spelling of 10470240 in words is "ten million, four hundred seventy thousand, two hundred forty".