193264000 has 128 divisors (see below), whose sum is σ = 492635520. Its totient is φ = 75366400.

The previous prime is 193263997. The next prime is 193264003. The reversal of 193264000 is 462391.

It is an interprime number because it is at equal distance from previous prime (193263997) and next prime (193264003).

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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193264003) 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, 751872 + ... + 752128.

It is an arithmetic number, because the mean of its divisors is an integer number (3848715).

Almost surely, 2^193264000 is an apocalyptic number.

193264000 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 193264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246317760).

193264000 is an abundant number, since it is smaller than the sum of its proper divisors (299371520).

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

193264000 is an equidigital number, since it uses as much as digits as its factorization.

193264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 193264000 is about 13901.9423103392. The cubic root of 193264000 is about 578.1630347511.

The spelling of 193264000 in words is "one hundred ninety-three million, two hundred sixty-four thousand".