10377920 has 112 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 3440640.

The previous prime is 10377919. The next prime is 10377931. The reversal of 10377920 is 2977301.

It is a happy number.

10377920 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (112).

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, 91784 + ... + 91896.

It is an arithmetic number, because the mean of its divisors is an integer number (260604).

Almost surely, 2^10377920 is an apocalyptic number.

10377920 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 10377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

10377920 is an abundant number, since it is smaller than the sum of its proper divisors (18809728).

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

10377920 is a wasteful number, since it uses less digits than its factorization.

10377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 10377920 is about 3221.4779216999. The cubic root of 10377920 is about 218.1239930934.

The spelling of 10377920 in words is "ten million, three hundred seventy-seven thousand, nine hundred twenty".