16288040 has 48 divisors (see below), whose sum is σ = 38958300. Its totient is φ = 6127616.

The previous prime is 16288033. The next prime is 16288043. The reversal of 16288040 is 4088261.

It can be written as a sum of positive squares in 6 ways, for example, as 6340324 + 9947716 = 2518^2 + 3154^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16287994 and 16288012.

It is not an unprimeable number, because it can be changed into a prime (16288043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10856 + ... + 12264.

Almost surely, 2^16288040 is an apocalyptic number.

16288040 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 16288040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19479150).

16288040 is an abundant number, since it is smaller than the sum of its proper divisors (22670260).

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

16288040 is a wasteful number, since it uses less digits than its factorization.

16288040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 16288040 is about 4035.8443973969. The cubic root of 16288040 is about 253.4873409512.

The spelling of 16288040 in words is "sixteen million, two hundred eighty-eight thousand, forty".