10407630 has 72 divisors (see below), whose sum is σ = 27239976. Its totient is φ = 2544480.

The previous prime is 10407629. The next prime is 10407667. The reversal of 10407630 is 3670401.

It is a junction number, because it is equal to n+sod(n) for n = 10407597 and 10407606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 335715 + ... + 335745.

It is an arithmetic number, because the mean of its divisors is an integer number (378333).

Almost surely, 2^10407630 is an apocalyptic number.

10407630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10407630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619988).

10407630 is an abundant number, since it is smaller than the sum of its proper divisors (16832346).

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

10407630 is a wasteful number, since it uses less digits than its factorization.

10407630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10407630 is about 3226.0858637054. The cubic root of 10407630 is about 218.3319438691.

The spelling of 10407630 in words is "ten million, four hundred seven thousand, six hundred thirty".