114587424 has 144 divisors (see below), whose sum is σ = 376451712. Its totient is φ = 32385024.

The previous prime is 114587419. The next prime is 114587437. The reversal of 114587424 is 424785411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227557 + ... + 228059.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^114587424 is an apocalyptic number.

114587424 is a gapful number since it is divisible by the number (14) 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 114587424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

114587424 is an abundant number, since it is smaller than the sum of its proper divisors (261864288).

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

114587424 is a wasteful number, since it uses less digits than its factorization.

114587424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 114587424 is about 10704.5515552965. The cubic root of 114587424 is about 485.7121701671.

The spelling of 114587424 in words is "one hundred fourteen million, five hundred eighty-seven thousand, four hundred twenty-four".