193476864 has 288 divisors, whose sum is σ = 653425920. Its totient is φ = 49545216.

The previous prime is 193476839. The next prime is 193476869. The reversal of 193476864 is 468674391.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (193476869) 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, 2650332 + ... + 2650404.

It is an arithmetic number, because the mean of its divisors is an integer number (2268840).

Almost surely, 2^193476864 is an apocalyptic number.

193476864 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 193476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326712960).

193476864 is an abundant number, since it is smaller than the sum of its proper divisors (459949056).

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

193476864 is a wasteful number, since it uses less digits than its factorization.

193476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 193476864 is about 13909.5961120372. The cubic root of 193476864 is about 578.3752228118.

The spelling of 193476864 in words is "one hundred ninety-three million, four hundred seventy-six thousand, eight hundred sixty-four".