234564000 has 192 divisors, whose sum is σ = 838760832. Its totient is φ = 56832000.

The previous prime is 234563983. The next prime is 234564007. The reversal of 234564000 is 465432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (234564007) 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, 131112 + ... + 132888.

It is an arithmetic number, because the mean of its divisors is an integer number (4368546).

Almost surely, 2^234564000 is an apocalyptic number.

234564000 is a gapful number since it is divisible by the number (20) 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 234564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419380416).

234564000 is an abundant number, since it is smaller than the sum of its proper divisors (604196832).

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

234564000 is a wasteful number, since it uses less digits than its factorization.

234564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 234564000 is about 15315.4823626290. The cubic root of 234564000 is about 616.7187035059.

The spelling of 234564000 in words is "two hundred thirty-four million, five hundred sixty-four thousand".