16009488 has 100 divisors (see below), whose sum is σ = 50593488. Its totient is φ = 4847040.

The previous prime is 16009471. The next prime is 16009489. The reversal of 16009488 is 88490061.

16009488 = 12² + 13² + ... + 363².

It is a happy number.

16009488 is a `hidden beast` number, since 1 + 600 + 9 + 48 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16009489) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13695 + ... + 14817.

Almost surely, 2^16009488 is an apocalyptic number.

16009488 is a gapful number since it is divisible by the number (18) 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 16009488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25296744).

16009488 is an abundant number, since it is smaller than the sum of its proper divisors (34584000).

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

16009488 is a wasteful number, since it uses less digits than its factorization.

16009488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 16009488 is about 4001.1858242276. The cubic root of 16009488 is about 252.0340090155.

The spelling of 16009488 in words is "sixteen million, nine thousand, four hundred eighty-eight".