10434624 has 28 divisors (see below), whose sum is σ = 27608784. Its totient is φ = 3478144.

The previous prime is 10434559. The next prime is 10434649. The reversal of 10434624 is 42643401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10434594 and 10434603.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26982 + ... + 27365.

It is an arithmetic number, because the mean of its divisors is an integer number (986028).

Almost surely, 2^10434624 is an apocalyptic number.

It is an amenable number.

10434624 is an abundant number, since it is smaller than the sum of its proper divisors (17174160).

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

10434624 is an equidigital number, since it uses as much as digits as its factorization.

10434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54362 (or 54352 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 10434624 is about 3230.2668620410. The cubic root of 10434624 is about 218.5205415427.

The spelling of 10434624 in words is "ten million, four hundred thirty-four thousand, six hundred twenty-four".