16007640 has 128 divisors (see below), whose sum is σ = 53464320. Its totient is φ = 3801600.

The previous prime is 16007639. The next prime is 16007647. The reversal of 16007640 is 4670061.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16007640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16007647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88350 + ... + 88530.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 2^16007640 is an apocalyptic number.

16007640 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 16007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732160).

16007640 is an abundant number, since it is smaller than the sum of its proper divisors (37456680).

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

16007640 is a wasteful number, since it uses less digits than its factorization.

16007640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 16007640 is about 4000.9548860241. The cubic root of 16007640 is about 252.0243110836.

The spelling of 16007640 in words is "sixteen million, seven thousand, six hundred forty".