10247634 has 60 divisors (see below), whose sum is σ = 24718122. Its totient is φ = 3162240.

The previous prime is 10247623. The next prime is 10247641. The reversal of 10247634 is 43674201.

10247634 is a `hidden beast` number, since 1 + 0 + 24 + 7 + 634 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4473225 + 5774409 = 2115^2 + 2403^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10247598 and 10247607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 167964 + ... + 168024.

Almost surely, 2^10247634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10247634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359061).

10247634 is an abundant number, since it is smaller than the sum of its proper divisors (14470488).

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

10247634 is an equidigital number, since it uses as much as digits as its factorization.

10247634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 10247634 is about 3201.1925902701. The cubic root of 10247634 is about 217.2073591109.

The spelling of 10247634 in words is "ten million, two hundred forty-seven thousand, six hundred thirty-four".