19485312 has 128 divisors (see below), whose sum is σ = 64627200. Its totient is φ = 5053440.

The previous prime is 19485299. The next prime is 19485313. The reversal of 19485312 is 21358491.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (19485313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29239 + ... + 29897.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 2^19485312 is an apocalyptic number.

19485312 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 19485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32313600).

19485312 is an abundant number, since it is smaller than the sum of its proper divisors (45141888).

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

19485312 is a wasteful number, since it uses less digits than its factorization.

19485312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 682 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 19485312 is about 4414.2170313658. The cubic root of 19485312 is about 269.0930336065.

It can be divided in two parts, 1948 and 5312, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 19485312 in words is "nineteen million, four hundred eighty-five thousand, three hundred twelve".