114354240 has 672 divisors, whose sum is σ = 525377664. Its totient is φ = 20643840.

The previous prime is 114354239. The next prime is 114354269. The reversal of 114354240 is 42453411.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114354240.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6726712 + ... + 6726728.

It is an arithmetic number, because the mean of its divisors is an integer number (781812).

Almost surely, 2^114354240 is an apocalyptic number.

114354240 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 114354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262688832).

114354240 is an abundant number, since it is smaller than the sum of its proper divisors (411023424).

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

114354240 is a wasteful number, since it uses less digits than its factorization.

114354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 114354240 is about 10693.6541930249. The cubic root of 114354240 is about 485.3824736568.

The spelling of 114354240 in words is "one hundred fourteen million, three hundred fifty-four thousand, two hundred forty".