10327920 has 80 divisors (see below), whose sum is σ = 33426432. Its totient is φ = 2632960.

The previous prime is 10327903. The next prime is 10327937. The reversal of 10327920 is 2972301.

It is an interprime number because it is at equal distance from previous prime (10327903) and next prime (10327937).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4585 + ... + 6455.

Almost surely, 2^10327920 is an apocalyptic number.

10327920 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 10327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216).

10327920 is an abundant number, since it is smaller than the sum of its proper divisors (23098512).

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

10327920 is a wasteful number, since it uses less digits than its factorization.

10327920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10327920 is about 3213.7081385838. The cubic root of 10327920 is about 217.7731276098.

The spelling of 10327920 in words is "ten million, three hundred twenty-seven thousand, nine hundred twenty".