10348512 has 72 divisors (see below), whose sum is σ = 28934136. Its totient is φ = 3237888.

The previous prime is 10348511. The next prime is 10348531. The reversal of 10348512 is 21584301.

It is a super-2 number, since 2×10348512² = 214183401228288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10348511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27558 + ... + 27930.

It is an arithmetic number, because the mean of its divisors is an integer number (401863).

Almost surely, 2^10348512 is an apocalyptic number.

10348512 is a gapful number since it is divisible by the number (12) 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 10348512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467068).

10348512 is an abundant number, since it is smaller than the sum of its proper divisors (18585624).

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

10348512 is a wasteful number, since it uses less digits than its factorization.

10348512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10348512 is about 3216.9103189240. The cubic root of 10348512 is about 217.9177649034.

The spelling of 10348512 in words is "ten million, three hundred forty-eight thousand, five hundred twelve".