114032640 has 152 divisors (see below), whose sum is σ = 377486640. Its totient is φ = 29360128.

The previous prime is 114032599. The next prime is 114032641. The reversal of 114032640 is 46230411.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (114032641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3932146 + ... + 3932174.

Almost surely, 2^114032640 is an apocalyptic number.

114032640 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 114032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188743320).

114032640 is an abundant number, since it is smaller than the sum of its proper divisors (263454000).

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

114032640 is an frugal number, since it uses more digits than its factorization.

114032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114032640 is about 10678.6066506825. The cubic root of 114032640 is about 484.9270305072.

The spelling of 114032640 in words is "one hundred fourteen million, thirty-two thousand, six hundred forty".