10298624 has 54 divisors (see below), whose sum is σ = 23942394. Its totient is φ = 4408320.

The previous prime is 10298623. The next prime is 10298663. The reversal of 10298624 is 42689201.

It can be written as a sum of positive squares in only one way, i.e., 7840000 + 2458624 = 2800^2 + 1568^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10298623) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12134 + ... + 12954.

Almost surely, 2^10298624 is an apocalyptic number.

10298624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10298624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11971197).

10298624 is an abundant number, since it is smaller than the sum of its proper divisors (13643770).

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

10298624 is an frugal number, since it uses more digits than its factorization.

10298624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 10298624 is about 3209.1469271443. The cubic root of 10298624 is about 217.5670221073.

The spelling of 10298624 in words is "ten million, two hundred ninety-eight thousand, six hundred twenty-four".