114495760 has 80 divisors (see below), whose sum is σ = 279553536. Its totient is φ = 43559424.

The previous prime is 114495751. The next prime is 114495769. The reversal of 114495760 is 67594411.

It is an interprime number because it is at equal distance from previous prime (114495751) and next prime (114495769).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114495769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138709 + ... + 139531.

Almost surely, 2^114495760 is an apocalyptic number.

114495760 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 114495760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139776768).

114495760 is an abundant number, since it is smaller than the sum of its proper divisors (165057776).

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

114495760 is a wasteful number, since it uses less digits than its factorization.

114495760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 114495760 is about 10700.2691554932. The cubic root of 114495760 is about 485.5826207630.

The spelling of 114495760 in words is "one hundred fourteen million, four hundred ninety-five thousand, seven hundred sixty".