10378320 has 80 divisors (see below), whose sum is σ = 32622912. Its totient is φ = 2728960.

The previous prime is 10378307. The next prime is 10378327. The reversal of 10378320 is 2387301.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10378327) by changing a digit.

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, 19660 + ... + 20180.

Almost surely, 2^10378320 is an apocalyptic number.

10378320 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 10378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311456).

10378320 is an abundant number, since it is smaller than the sum of its proper divisors (22244592).

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

10378320 is a wasteful number, since it uses less digits than its factorization.

10378320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

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

The square root of 10378320 is about 3221.5400044078. The cubic root of 10378320 is about 218.1267954686.

The spelling of 10378320 in words is "ten million, three hundred seventy-eight thousand, three hundred twenty".