173400768 has 84 divisors (see below), whose sum is σ = 508653288. Its totient is φ = 56448000.

The previous prime is 173400761. The next prime is 173400793. The reversal of 173400768 is 867004371.

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

It is not an unprimeable number, because it can be changed into a prime (173400761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21268 + ... + 28268.

Almost surely, 2^173400768 is an apocalyptic number.

173400768 is a gapful number since it is divisible by the number (18) 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 173400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254326644).

173400768 is an abundant number, since it is smaller than the sum of its proper divisors (335252520).

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

173400768 is a wasteful number, since it uses less digits than its factorization.

173400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7062 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 173400768 is about 13168.1725383593. The cubic root of 173400768 is about 557.6354037106.

The spelling of 173400768 in words is "one hundred seventy-three million, four hundred thousand, seven hundred sixty-eight".