114241920 has 256 divisors, whose sum is σ = 411264000. Its totient is φ = 26763264.

The previous prime is 114241859. The next prime is 114241931. The reversal of 114241920 is 29142411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 573981 + ... + 574179.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^114241920 is an apocalyptic number.

114241920 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 114241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

114241920 is an abundant number, since it is smaller than the sum of its proper divisors (297022080).

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

114241920 is a wasteful number, since it uses less digits than its factorization.

114241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114241920 is about 10688.4011900752. The cubic root of 114241920 is about 485.2235055864.

The spelling of 114241920 in words is "one hundred fourteen million, two hundred forty-one thousand, nine hundred twenty".