16416432 has 100 divisors (see below), whose sum is σ = 48612960. Its totient is φ = 5346432.

The previous prime is 16416431. The next prime is 16416443. The reversal of 16416432 is 23461461.

16416432 is a `hidden beast` number, since 16 + 4 + 1 + 643 + 2 = 666.

It is a super-2 number, since 2×16416432² = 538998479221248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16416396 and 16416405.

It is not an unprimeable number, because it can be changed into a prime (16416431) 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, 68569 + ... + 68807.

Almost surely, 2^16416432 is an apocalyptic number.

16416432 is a gapful number since it is divisible by the number (12) 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 16416432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

16416432 is an abundant number, since it is smaller than the sum of its proper divisors (32196528).

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

16416432 is a wasteful number, since it uses less digits than its factorization.

16416432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 16416432 is about 4051.7196349205. The cubic root of 16416432 is about 254.1516444166.

Adding to 16416432 its reverse (23461461), we get a palindrome (39877893).

The spelling of 16416432 in words is "sixteen million, four hundred sixteen thousand, four hundred thirty-two".