19689264 has 160 divisors (see below), whose sum is σ = 68567040. Its totient is φ = 5280768.

The previous prime is 19689253. The next prime is 19689269. The reversal of 19689264 is 46298691.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19689269) 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, 51217 + ... + 51599.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 2^19689264 is an apocalyptic number.

19689264 is a gapful number since it is divisible by the number (14) 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 19689264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34283520).

19689264 is an abundant number, since it is smaller than the sum of its proper divisors (48877776).

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

19689264 is a wasteful number, since it uses less digits than its factorization.

19689264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 19689264 is about 4437.2586131529. The cubic root of 19689264 is about 270.0286389375.

The spelling of 19689264 in words is "nineteen million, six hundred eighty-nine thousand, two hundred sixty-four".