114954840 has 576 divisors, whose sum is σ = 522849600. Its totient is φ = 21288960.

The previous prime is 114954823. The next prime is 114954859. The reversal of 114954840 is 48459411.

114954840 = 1159² + 1160² + ... + 1238².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114954795 and 114954804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3963946 + ... + 3963974.

It is an arithmetic number, because the mean of its divisors is an integer number (907725).

Almost surely, 2^114954840 is an apocalyptic number.

114954840 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 114954840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

114954840 is an abundant number, since it is smaller than the sum of its proper divisors (407894760).

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

114954840 is a wasteful number, since it uses less digits than its factorization.

114954840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 114954840 is about 10721.6994921514. The cubic root of 114954840 is about 486.2307495413.

The spelling of 114954840 in words is "one hundred fourteen million, nine hundred fifty-four thousand, eight hundred forty".