10781408 has 48 divisors (see below), whose sum is σ = 23451120. Its totient is φ = 4838400.

The previous prime is 10781399. The next prime is 10781423. The reversal of 10781408 is 80418701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38228 + ... + 38508.

It is an arithmetic number, because the mean of its divisors is an integer number (488565).

Almost surely, 2^10781408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10781408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725560).

10781408 is an abundant number, since it is smaller than the sum of its proper divisors (12669712).

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

10781408 is a wasteful number, since it uses less digits than its factorization.

10781408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 10781408 is about 3283.5054438816. The cubic root of 10781408 is about 220.9149772245.

It can be divided in two parts, 1078 and 1408, that multiplied together give a square (1517824 = 1232²).

The spelling of 10781408 in words is "ten million, seven hundred eighty-one thousand, four hundred eight".