16782240 has 48 divisors (see below), whose sum is σ = 52865568. Its totient is φ = 4475136.

The previous prime is 16782209. The next prime is 16782277. The reversal of 16782240 is 4228761.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 16782198 and 16782207.

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, 17002 + ... + 17961.

It is an arithmetic number, because the mean of its divisors is an integer number (1101366).

Almost surely, 2^16782240 is an apocalyptic number.

16782240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16782240 is an abundant number, since it is smaller than the sum of its proper divisors (36083328).

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

16782240 is a wasteful number, since it uses less digits than its factorization.

16782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34981 (or 34973 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 16782240 is about 4096.6132353445. The cubic root of 16782240 is about 256.0255508352.

The spelling of 16782240 in words is "sixteen million, seven hundred eighty-two thousand, two hundred forty".