10385880 has 128 divisors (see below), whose sum is σ = 33592320. Its totient is φ = 2562560.

The previous prime is 10385867. The next prime is 10385923. The reversal of 10385880 is 8858301.

10385880 = T₅₀₅ + T₅₀₆ + ... + T₅₇₅.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146245 + ... + 146315.

It is an arithmetic number, because the mean of its divisors is an integer number (262440).

Almost surely, 2^10385880 is an apocalyptic number.

10385880 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 10385880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796160).

10385880 is an abundant number, since it is smaller than the sum of its proper divisors (23206440).

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

10385880 is a wasteful number, since it uses less digits than its factorization.

10385880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 10385880 is about 3222.7131426796. The cubic root of 10385880 is about 218.1797468238.

The spelling of 10385880 in words is "ten million, three hundred eighty-five thousand, eight hundred eighty".