16825536 has 224 divisors, whose sum is σ = 61447680. Its totient is φ = 4396032.

The previous prime is 16825531. The next prime is 16825537. The reversal of 16825536 is 63552861.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 16825536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16825531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157195 + ... + 157301.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 2^16825536 is an apocalyptic number.

16825536 is a gapful number since it is divisible by the number (16) 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 16825536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

16825536 is an abundant number, since it is smaller than the sum of its proper divisors (44622144).

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

16825536 is a wasteful number, since it uses less digits than its factorization.

16825536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 16825536 is about 4101.8941965877. The cubic root of 16825536 is about 256.2455326606.

The spelling of 16825536 in words is "sixteen million, eight hundred twenty-five thousand, five hundred thirty-six".