16142464 has 64 divisors (see below), whose sum is σ = 35343000. Its totient is φ = 7299072.

The previous prime is 16142461. The next prime is 16142507. The reversal of 16142464 is 46424161.

It can be written as a sum of positive squares in 4 ways, for example, as 10188864 + 5953600 = 3192^2 + 2440^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (16142461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148042 + ... + 148150.

Almost surely, 2^16142464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17671500).

16142464 is an abundant number, since it is smaller than the sum of its proper divisors (19200536).

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

16142464 is a wasteful number, since it uses less digits than its factorization.

16142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 16142464 is about 4017.7685348960. The cubic root of 16142464 is about 252.7298902948.

The spelling of 16142464 in words is "sixteen million, one hundred forty-two thousand, four hundred sixty-four".