114264000 has 336 divisors, whose sum is σ = 438241440. Its totient is φ = 29145600.

The previous prime is 114263993. The next prime is 114264001. The reversal of 114264000 is 462411.

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 Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114264001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4967989 + ... + 4968011.

It is an arithmetic number, because the mean of its divisors is an integer number (1304290).

Almost surely, 2^114264000 is an apocalyptic number.

114264000 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 114264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219120720).

114264000 is an abundant number, since it is smaller than the sum of its proper divisors (323977440).

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

114264000 is an equidigital number, since it uses as much as digits as its factorization.

114264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114264000 is about 10689.4340355325. The cubic root of 114264000 is about 485.2547639454.

The spelling of 114264000 in words is "one hundred fourteen million, two hundred sixty-four thousand".