16807440 has 80 divisors (see below), whose sum is σ = 56121408. Its totient is φ = 4136448.

The previous prime is 16807429. The next prime is 16807451. The reversal of 16807440 is 4470861.

It is an interprime number because it is at equal distance from previous prime (16807429) and next prime (16807451).

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

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 = 16807398 and 16807407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427 + ... + 5813.

Almost surely, 2^16807440 is an apocalyptic number.

16807440 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 16807440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28060704).

16807440 is an abundant number, since it is smaller than the sum of its proper divisors (39313968).

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

16807440 is a wasteful number, since it uses less digits than its factorization.

16807440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416 (or 5410 counting only the distinct ones).

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

The square root of 16807440 is about 4099.6877929911. The cubic root of 16807440 is about 256.1536349931.

The spelling of 16807440 in words is "sixteen million, eight hundred seven thousand, four hundred forty".