10378560 has 112 divisors (see below), whose sum is σ = 34747200. Its totient is φ = 2617344.

The previous prime is 10378559. The next prime is 10378597. The reversal of 10378560 is 6587301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 17956 + ... + 18524.

Almost surely, 2^10378560 is an apocalyptic number.

10378560 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 10378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373600).

10378560 is an abundant number, since it is smaller than the sum of its proper divisors (24368640).

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

10378560 is a wasteful number, since it uses less digits than its factorization.

10378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10378560 is about 3221.5772534583. The cubic root of 10378560 is about 218.1284768591.

The spelling of 10378560 in words is "ten million, three hundred seventy-eight thousand, five hundred sixty".