16225632 has 72 divisors (see below), whose sum is σ = 47056464. Its totient is φ = 5301504.

The previous prime is 16225621. The next prime is 16225681. The reversal of 16225632 is 23652261.

16225632 is a `hidden beast` number, since 1 + 6 + 2 + 25 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×16225632² = 526542267598848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16225596 and 16225605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14733 + ... + 15795.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 2^16225632 is an apocalyptic number.

16225632 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 16225632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232).

16225632 is an abundant number, since it is smaller than the sum of its proper divisors (30830832).

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

16225632 is a wasteful number, since it uses less digits than its factorization.

16225632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1121 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 16225632 is about 4028.1052617825. The cubic root of 16225632 is about 253.1631790605.

Adding to 16225632 its reverse (23652261), we get a palindrome (39877893).

The spelling of 16225632 in words is "sixteen million, two hundred twenty-five thousand, six hundred thirty-two".