10770408 has 80 divisors (see below), whose sum is σ = 32931360. Its totient is φ = 3261600.

The previous prime is 10770407. The next prime is 10770439. The reversal of 10770408 is 80407701.

10770408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10770407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6373 + ... + 7883.

It is an arithmetic number, because the mean of its divisors is an integer number (411642).

Almost surely, 2^10770408 is an apocalyptic number.

10770408 is a gapful number since it is divisible by the number (18) 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 10770408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680).

10770408 is an abundant number, since it is smaller than the sum of its proper divisors (22160952).

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

10770408 is a wasteful number, since it uses less digits than its factorization.

10770408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10770408 is about 3281.8299773145. The cubic root of 10770408 is about 220.8398203229.

The spelling of 10770408 in words is "ten million, seven hundred seventy thousand, four hundred eight".