114524640 has 72 divisors (see below), whose sum is σ = 390820248. Its totient is φ = 30539520.

The previous prime is 114524639. The next prime is 114524651. The reversal of 114524640 is 46425411.

114524640 is a `hidden beast` number, since 1 + 14 + 5 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38326 + ... + 41205.

It is an arithmetic number, because the mean of its divisors is an integer number (5428059).

Almost surely, 2^114524640 is an apocalyptic number.

114524640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114524640 is an abundant number, since it is smaller than the sum of its proper divisors (276295608).

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

114524640 is a wasteful number, since it uses less digits than its factorization.

114524640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79552 (or 79541 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 114524640 is about 10701.6185691698. The cubic root of 114524640 is about 485.6234445372.

The spelling of 114524640 in words is "one hundred fourteen million, five hundred twenty-four thousand, six hundred forty".