114726640 has 160 divisors (see below), whose sum is σ = 322300800. Its totient is φ = 37933056.

The previous prime is 114726631. The next prime is 114726673. The reversal of 114726640 is 46627411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015224 + ... + 1015336.

It is an arithmetic number, because the mean of its divisors is an integer number (2014380).

Almost surely, 2^114726640 is an apocalyptic number.

114726640 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 114726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161150400).

114726640 is an abundant number, since it is smaller than the sum of its proper divisors (207574160).

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

114726640 is a wasteful number, since it uses less digits than its factorization.

114726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 114726640 is about 10711.0522358917. The cubic root of 114726640 is about 485.9087930816.

The spelling of 114726640 in words is "one hundred fourteen million, seven hundred twenty-six thousand, six hundred forty".