114067008 has 224 divisors, whose sum is σ = 388437120. Its totient is φ = 32440320.

The previous prime is 114067007. The next prime is 114067021. The reversal of 114067008 is 800760411.

It is a happy number.

It is a super-2 number, since 2×114067008² = 26022564628144128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114067007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322960 + ... + 323312.

Almost surely, 2^114067008 is an apocalyptic number.

114067008 is a gapful number since it is divisible by the number (18) 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 114067008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194218560).

114067008 is an abundant number, since it is smaller than the sum of its proper divisors (274370112).

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

114067008 is a wasteful number, since it uses less digits than its factorization.

114067008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 114067008 is about 10680.2157281583. The cubic root of 114067008 is about 484.9757425782.

The spelling of 114067008 in words is "one hundred fourteen million, sixty-seven thousand, eight".