10348464 has 80 divisors (see below), whose sum is σ = 32180480. Its totient is φ = 2799360.

The previous prime is 10348453. The next prime is 10348469. The reversal of 10348464 is 46484301.

It is not an unprimeable number, because it can be changed into a prime (10348469) 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, 5574 + ... + 7194.

It is an arithmetic number, because the mean of its divisors is an integer number (402256).

Almost surely, 2^10348464 is an apocalyptic number.

10348464 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 10348464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090240).

10348464 is an abundant number, since it is smaller than the sum of its proper divisors (21832016).

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

10348464 is a wasteful number, since it uses less digits than its factorization.

10348464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 10348464 is about 3216.9028583406. The cubic root of 10348464 is about 217.9174279767.

The spelling of 10348464 in words is "ten million, three hundred forty-eight thousand, four hundred sixty-four".