10062624 has 96 divisors (see below), whose sum is σ = 31074624. Its totient is φ = 2810880.

The previous prime is 10062599. The next prime is 10062629. The reversal of 10062624 is 42626001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 10062624.

It is not an unprimeable number, because it can be changed into a prime (10062629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13362 + ... + 14094.

It is an arithmetic number, because the mean of its divisors is an integer number (323694).

Almost surely, 2^10062624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10062624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15537312).

10062624 is an abundant number, since it is smaller than the sum of its proper divisors (21012000).

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

10062624 is a wasteful number, since it uses less digits than its factorization.

10062624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10062624 is about 3172.1639301902. The cubic root of 10062624 is about 215.8922645173.

Adding to 10062624 its reverse (42626001), we get a palindrome (52688625).

The spelling of 10062624 in words is "ten million, sixty-two thousand, six hundred twenty-four".