16945632 has 96 divisors (see below), whose sum is σ = 53948160. Its totient is φ = 5132160.

The previous prime is 16945631. The next prime is 16945639. The reversal of 16945632 is 23654961.

It is a happy number.

16945632 is a `hidden beast` number, since 1 + 6 + 94 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16945631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8613 + ... + 10395.

It is an arithmetic number, because the mean of its divisors is an integer number (561960).

Almost surely, 2^16945632 is an apocalyptic number.

16945632 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 16945632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26974080).

16945632 is an abundant number, since it is smaller than the sum of its proper divisors (37002528).

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

16945632 is a wasteful number, since it uses less digits than its factorization.

16945632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1799 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 16945632 is about 4116.5072573724. The cubic root of 16945632 is about 256.8537576339.

The spelling of 16945632 in words is "sixteen million, nine hundred forty-five thousand, six hundred thirty-two".