114624640 has 128 divisors (see below), whose sum is σ = 308448000. Its totient is φ = 40415232.

The previous prime is 114624611. The next prime is 114624667. The reversal of 114624640 is 46426411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 114624599 and 114624608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191061 + ... + 191659.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^114624640 is an apocalyptic number.

114624640 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 114624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

114624640 is an abundant number, since it is smaller than the sum of its proper divisors (193823360).

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

114624640 is a wasteful number, since it uses less digits than its factorization.

114624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 114624640 is about 10706.2897401481. The cubic root of 114624640 is about 485.7647480938.

The spelling of 114624640 in words is "one hundred fourteen million, six hundred twenty-four thousand, six hundred forty".