16905540 has 96 divisors (see below), whose sum is σ = 49996800. Its totient is φ = 4262400.

The previous prime is 16905527. The next prime is 16905541. The reversal of 16905540 is 4550961.

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

It is a junction number, because it is equal to n+sod(n) for n = 16905498 and 16905507.

It is not an unprimeable number, because it can be changed into a prime (16905541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113386 + ... + 113534.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 2^16905540 is an apocalyptic number.

16905540 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 16905540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

16905540 is an abundant number, since it is smaller than the sum of its proper divisors (33091260).

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

16905540 is a wasteful number, since it uses less digits than its factorization.

16905540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 16905540 is about 4111.6347114013. The cubic root of 16905540 is about 256.6510325741.

The spelling of 16905540 in words is "sixteen million, nine hundred five thousand, five hundred forty".