10007460 has 72 divisors (see below), whose sum is σ = 30958200. Its totient is φ = 2615808.

The previous prime is 10007443. The next prime is 10007479. The reversal of 10007460 is 6470001.

It can be written as a sum of positive squares in 4 ways, for example, as 3896676 + 6110784 = 1974^2 + 2472^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9016 + ... + 10064.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 2^10007460 is an apocalyptic number.

10007460 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 10007460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479100).

10007460 is an abundant number, since it is smaller than the sum of its proper divisors (20950740).

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

10007460 is a wasteful number, since it uses less digits than its factorization.

10007460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10007460 is about 3163.4569698354. The cubic root of 10007460 is about 215.4970292960.

Adding to 10007460 its reverse (6470001), we get a palindrome (16477461).

The spelling of 10007460 in words is "ten million, seven thousand, four hundred sixty".