19361664 has 144 divisors (see below), whose sum is σ = 65000520. Its totient is φ = 5531904.

The previous prime is 19361663. The next prime is 19361677. The reversal of 19361664 is 46616391.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (23328) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19361663) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2765949 + ... + 2765955.

Almost surely, 2^19361664 is an apocalyptic number.

19361664 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 19361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32500260).

19361664 is an abundant number, since it is smaller than the sum of its proper divisors (45638856).

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

19361664 is an frugal number, since it uses more digits than its factorization.

19361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 12 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 19361664 is about 4400.1890868462. The cubic root of 19361664 is about 268.5226305530.

19361664 divided by its sum of digits (36) gives a 5-th power (537824 = 14⁵).

It can be divided in two parts, 1936 and 1664, that added together give a square (3600 = 60²).

The spelling of 19361664 in words is "nineteen million, three hundred sixty-one thousand, six hundred sixty-four".