11869920 has 72 divisors (see below), whose sum is σ = 40511016. Its totient is φ = 3164928.

The previous prime is 11869919. The next prime is 11869939. The reversal of 11869920 is 2996811.

11869920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2682 + ... + 5561.

It is an arithmetic number, because the mean of its divisors is an integer number (562653).

Almost surely, 2^11869920 is an apocalyptic number.

11869920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11869920 is an abundant number, since it is smaller than the sum of its proper divisors (28641096).

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

11869920 is a wasteful number, since it uses less digits than its factorization.

11869920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11869920 is about 3445.2750253064. The cubic root of 11869920 is about 228.1125944339.

The spelling of 11869920 in words is "eleven million, eight hundred sixty-nine thousand, nine hundred twenty".