10368080 has 80 divisors (see below), whose sum is σ = 25779600. Its totient is φ = 3870720.

The previous prime is 10368077. The next prime is 10368097. The reversal of 10368080 is 8086301.

It can be written as a sum of positive squares in 8 ways, for example, as 583696 + 9784384 = 764^2 + 3128^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95066 + ... + 95174.

It is an arithmetic number, because the mean of its divisors is an integer number (322245).

Almost surely, 2^10368080 is an apocalyptic number.

10368080 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 10368080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889800).

10368080 is an abundant number, since it is smaller than the sum of its proper divisors (15411520).

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

10368080 is a wasteful number, since it uses less digits than its factorization.

10368080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10368080 is about 3219.9503101756. The cubic root of 10368080 is about 218.0550319781.

It can be divided in two parts, 103680 and 80, that multiplied together give a square (8294400 = 2880²).

The spelling of 10368080 in words is "ten million, three hundred sixty-eight thousand, eighty".