10406880 has 240 divisors, whose sum is σ = 40615344. Its totient is φ = 2488320.

The previous prime is 10406867. The next prime is 10406933. The reversal of 10406880 is 8860401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 142524 + ... + 142596.

Almost surely, 2^10406880 is an apocalyptic number.

10406880 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 10406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20307672).

10406880 is an abundant number, since it is smaller than the sum of its proper divisors (30208464).

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

10406880 is a wasteful number, since it uses less digits than its factorization.

10406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10406880 is about 3225.9696216797. The cubic root of 10406880 is about 218.3266992267.

The spelling of 10406880 in words is "ten million, four hundred six thousand, eight hundred eighty".