114321024 has 128 divisors (see below), whose sum is σ = 355368000. Its totient is φ = 36080640.

The previous prime is 114321013. The next prime is 114321029. The reversal of 114321024 is 420123411.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 114320988 and 114321006.

It is not an unprimeable number, because it can be changed into a prime (114321029) 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, 64794 + ... + 66534.

Almost surely, 2^114321024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177684000).

114321024 is an abundant number, since it is smaller than the sum of its proper divisors (241046976).

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

114321024 is a wasteful number, since it uses less digits than its factorization.

114321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1765 counting only the distinct ones).

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

The square root of 114321024 is about 10692.1010096239. The cubic root of 114321024 is about 485.3354734304.

Adding to 114321024 its reverse (420123411), we get a palindrome (534444435).

The spelling of 114321024 in words is "one hundred fourteen million, three hundred twenty-one thousand, twenty-four".