114069984 has 96 divisors (see below), whose sum is σ = 344332800. Its totient is φ = 32389632.

The previous prime is 114069973. The next prime is 114070009. The reversal of 114069984 is 489960411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114069984² = 26023922499520512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 133302 + ... + 134154.

It is an arithmetic number, because the mean of its divisors is an integer number (3586800).

Almost surely, 2^114069984 is an apocalyptic number.

114069984 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 114069984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172166400).

114069984 is an abundant number, since it is smaller than the sum of its proper divisors (230262816).

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

114069984 is a wasteful number, since it uses less digits than its factorization.

114069984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 114069984 is about 10680.3550502781. The cubic root of 114069984 is about 484.9799602022.

The spelling of 114069984 in words is "one hundred fourteen million, sixty-nine thousand, nine hundred eighty-four".