19464960 has 144 divisors (see below), whose sum is σ = 64312416. Its totient is φ = 5013504.

The previous prime is 19464953. The next prime is 19464967. The reversal of 19464960 is 6946491.

It is an interprime number because it is at equal distance from previous prime (19464953) and next prime (19464967).

It is not an unprimeable number, because it can be changed into a prime (19464967) 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, 142012 + ... + 142148.

It is an arithmetic number, because the mean of its divisors is an integer number (446614).

Almost surely, 2^19464960 is an apocalyptic number.

19464960 is a gapful number since it is divisible by the number (10) 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 19464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32156208).

19464960 is an abundant number, since it is smaller than the sum of its proper divisors (44847456).

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

19464960 is a wasteful number, since it uses less digits than its factorization.

19464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 19464960 is about 4411.9111505106. The cubic root of 19464960 is about 268.9993136248. Note that the first 3 decimals are identical.

The spelling of 19464960 in words is "nineteen million, four hundred sixty-four thousand, nine hundred sixty".