16749040 has 80 divisors (see below), whose sum is σ = 48568320. Its totient is φ = 5218560.

The previous prime is 16749017. The next prime is 16749053. The reversal of 16749040 is 4094761.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 16748993 and 16749011.

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, 4801 + ... + 7519.

It is an arithmetic number, because the mean of its divisors is an integer number (607104).

Almost surely, 2^16749040 is an apocalyptic number.

16749040 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 16749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284160).

16749040 is an abundant number, since it is smaller than the sum of its proper divisors (31819280).

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

16749040 is a wasteful number, since it uses less digits than its factorization.

16749040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 16749040 is about 4092.5591015891. The cubic root of 16749040 is about 255.8566091520.

The spelling of 16749040 in words is "sixteen million, seven hundred forty-nine thousand, forty".