16777540 has 48 divisors (see below), whose sum is σ = 38264688. Its totient is φ = 6142464.

The previous prime is 16777531. The next prime is 16777571. The reversal of 16777540 is 4577761.

It can be written as a sum of positive squares in 8 ways, for example, as 324 + 16777216 = 18^2 + 4096^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16777540.

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, 44794 + ... + 45166.

It is an arithmetic number, because the mean of its divisors is an integer number (797181).

Almost surely, 2^16777540 is an apocalyptic number.

16777540 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 16777540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19132344).

16777540 is an abundant number, since it is smaller than the sum of its proper divisors (21487148).

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

16777540 is a wasteful number, since it uses less digits than its factorization.

16777540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 37.

The square root of 16777540 is about 4096.0395505903. The cubic root of 16777540 is about 256.0016479386.

The spelling of 16777540 in words is "sixteen million, seven hundred seventy-seven thousand, five hundred forty".