16612632 has 48 divisors (see below), whose sum is σ = 45279000. Its totient is φ = 5502336.

The previous prime is 16612627. The next prime is 16612637. The reversal of 16612632 is 23621661.

16612632 is a `hidden beast` number, since 16 + 6 + 12 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (16612627) and next prime (16612637).

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 = 16612596 and 16612605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16612637) 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, 12244 + ... + 13532.

Almost surely, 2^16612632 is an apocalyptic number.

16612632 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 16612632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22639500).

16612632 is an abundant number, since it is smaller than the sum of its proper divisors (28666368).

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

16612632 is a wasteful number, since it uses less digits than its factorization.

16612632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1473 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 16612632 is about 4075.8596639237. The cubic root of 16612632 is about 255.1601301040.

The spelling of 16612632 in words is "sixteen million, six hundred twelve thousand, six hundred thirty-two".