114769920 has 120 divisors (see below), whose sum is σ = 368038944. Its totient is φ = 30539776.

The previous prime is 114769891. The next prime is 114769933. The reversal of 114769920 is 29967411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245527 + ... + 245993.

Almost surely, 2^114769920 is an apocalyptic number.

114769920 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 114769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184019472).

114769920 is an abundant number, since it is smaller than the sum of its proper divisors (253269024).

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

114769920 is an frugal number, since it uses more digits than its factorization.

114769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 114769920 is about 10713.0723884421. The cubic root of 114769920 is about 485.9698875482.

The spelling of 114769920 in words is "one hundred fourteen million, seven hundred sixty-nine thousand, nine hundred twenty".