114206976 has 288 divisors, whose sum is σ = 384599040. Its totient is φ = 33177600.

The previous prime is 114206957. The next prime is 114206977. The reversal of 114206976 is 679602411.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 114206976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114206977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2785516 + ... + 2785556.

Almost surely, 2^114206976 is an apocalyptic number.

114206976 is a gapful number since it is divisible by the number (16) 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 114206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192299520).

114206976 is an abundant number, since it is smaller than the sum of its proper divisors (270392064).

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

114206976 is a wasteful number, since it uses less digits than its factorization.

114206976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 114206976 is about 10686.7663958749. The cubic root of 114206976 is about 485.1740276036.

The spelling of 114206976 in words is "one hundred fourteen million, two hundred six thousand, nine hundred seventy-six".