16779240 has 96 divisors (see below), whose sum is σ = 55111680. Its totient is φ = 4427136.

The previous prime is 16779239. The next prime is 16779247. The reversal of 16779240 is 4297761.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16779195 and 16779204.

It is not an unprimeable number, because it can be changed into a prime (16779247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45537 + ... + 45903.

It is an arithmetic number, because the mean of its divisors is an integer number (574080).

Almost surely, 2^16779240 is an apocalyptic number.

16779240 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 16779240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27555840).

16779240 is an abundant number, since it is smaller than the sum of its proper divisors (38332440).

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

16779240 is a wasteful number, since it uses less digits than its factorization.

16779240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 16779240 is about 4096.2470628613. The cubic root of 16779240 is about 256.0102941824.

The spelling of 16779240 in words is "sixteen million, seven hundred seventy-nine thousand, two hundred forty".