16251936 has 96 divisors (see below), whose sum is σ = 45416448. Its totient is φ = 5080320.

The previous prime is 16251929. The next prime is 16251941. The reversal of 16251936 is 63915261.

16251936 = 709² + 710² + ... + 739².

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 16251897 and 16251906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127905 + ... + 128031.

It is an arithmetic number, because the mean of its divisors is an integer number (473088).

Almost surely, 2^16251936 is an apocalyptic number.

16251936 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 16251936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22708224).

16251936 is an abundant number, since it is smaller than the sum of its proper divisors (29164512).

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

16251936 is a wasteful number, since it uses less digits than its factorization.

16251936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 16251936 is about 4031.3689982436. The cubic root of 16251936 is about 253.2999094100.

The spelling of 16251936 in words is "sixteen million, two hundred fifty-one thousand, nine hundred thirty-six".