114638080 has 36 divisors (see below), whose sum is σ = 274597092. Its totient is φ = 45854720.

The previous prime is 114638071. The next prime is 114638101. The reversal of 114638080 is 80836411.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 82011136 = 5712^2 + 9056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43501 + ... + 46060.

It is an arithmetic number, because the mean of its divisors is an integer number (7627697).

Almost surely, 2^114638080 is an apocalyptic number.

114638080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114638080 is an abundant number, since it is smaller than the sum of its proper divisors (159959012).

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

114638080 is an frugal number, since it uses more digits than its factorization.

114638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89582 (or 89568 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 114638080 is about 10706.9173901735. The cubic root of 114638080 is about 485.7837330260.

The spelling of 114638080 in words is "one hundred fourteen million, six hundred thirty-eight thousand, eighty".