10624005 has 48 divisors (see below), whose sum is σ = 21790080. Its totient is φ = 4685184.

The previous prime is 10624001. The next prime is 10624007. The reversal of 10624005 is 50042601.

It is a happy number.

It is not a de Polignac number, because 10624005 - 2² = 10624001 is a prime.

It is a super-2 number, since 2×10624005² = 225738964480050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10624001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8554 + ... + 9716.

It is an arithmetic number, because the mean of its divisors is an integer number (453960).

Almost surely, 2^10624005 is an apocalyptic number.

10624005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10624005 is an abundant number, since it is smaller than the sum of its proper divisors (11166075).

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

10624005 is a wasteful number, since it uses less digits than its factorization.

10624005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10624005 is about 3259.4485729951. The cubic root of 10624005 is about 219.8346208909.

Adding to 10624005 its reverse (50042601), we get a palindrome (60666606).

The spelling of 10624005 in words is "ten million, six hundred twenty-four thousand, five".