114616320 has 384 divisors, whose sum is σ = 462309120. Its totient is φ = 23592960.

The previous prime is 114616273. The next prime is 114616321. The reversal of 114616320 is 23616411.

114616320 = T₃₇₁ + T₃₇₂ + ... + T₉₀₃.

It is a tau number, because it is divible by the number of its divisors (384).

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 (114616321) 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, 2795500 + ... + 2795540.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^114616320 is an apocalyptic number.

114616320 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 114616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

114616320 is an abundant number, since it is smaller than the sum of its proper divisors (347692800).

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

114616320 is a wasteful number, since it uses less digits than its factorization.

114616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 114616320 is about 10705.9011764540. The cubic root of 114616320 is about 485.7529947730.

Subtracting from 114616320 its reverse (23616411), we obtain a palindrome (90999909).

The spelling of 114616320 in words is "one hundred fourteen million, six hundred sixteen thousand, three hundred twenty".