10738320 has 80 divisors (see below), whose sum is σ = 33694272. Its totient is φ = 2828800.

The previous prime is 10738319. The next prime is 10738333. The reversal of 10738320 is 2383701.

It is a tau number, because it is divible by the number of its divisors (80).

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

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 15 ways as a sum of consecutive naturals, for example, 24019 + ... + 24461.

Almost surely, 2^10738320 is an apocalyptic number.

10738320 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 10738320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16847136).

10738320 is an abundant number, since it is smaller than the sum of its proper divisors (22955952).

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

10738320 is a wasteful number, since it uses less digits than its factorization.

10738320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 10738320 is about 3276.9375947674. The cubic root of 10738320 is about 220.6202880273.

The spelling of 10738320 in words is "ten million, seven hundred thirty-eight thousand, three hundred twenty".