10348920 has 192 divisors, whose sum is σ = 37908000. Its totient is φ = 2433024.

The previous prime is 10348913. The next prime is 10348931. The reversal of 10348920 is 2984301.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116236 + ... + 116324.

Almost surely, 2^10348920 is an apocalyptic number.

10348920 is a gapful number since it is divisible by the number (10) 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 10348920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954000).

10348920 is an abundant number, since it is smaller than the sum of its proper divisors (27559080).

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

10348920 is a wasteful number, since it uses less digits than its factorization.

10348920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10348920 is about 3216.9737331847. The cubic root of 10348920 is about 217.9206287380.

The spelling of 10348920 in words is "ten million, three hundred forty-eight thousand, nine hundred twenty".