10948320 has 72 divisors (see below), whose sum is σ = 37366056. Its totient is φ = 2919168.

The previous prime is 10948309. The next prime is 10948331. The reversal of 10948320 is 2384901.

It is an interprime number because it is at equal distance from previous prime (10948309) and next prime (10948331).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×10948320³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2362 + ... + 5241.

It is an arithmetic number, because the mean of its divisors is an integer number (518973).

Almost surely, 2^10948320 is an apocalyptic number.

10948320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10948320 is an abundant number, since it is smaller than the sum of its proper divisors (26417736).

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

10948320 is a wasteful number, since it uses less digits than its factorization.

10948320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624 (or 7613 counting only the distinct ones).

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

The square root of 10948320 is about 3308.8245647057. The cubic root of 10948320 is about 222.0491734266.

The spelling of 10948320 in words is "ten million, nine hundred forty-eight thousand, three hundred twenty".