11497920 has 224 divisors, whose sum is σ = 43891200. Its totient is φ = 2494464.

The previous prime is 11497919. The next prime is 11497943. The reversal of 11497920 is 2979411.

11497920 is digitally balanced in base 2, because in such base 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 (224).

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, 194851 + ... + 194909.

Almost surely, 2^11497920 is an apocalyptic number.

11497920 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 11497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21945600).

11497920 is an abundant number, since it is smaller than the sum of its proper divisors (32393280).

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

11497920 is a wasteful number, since it uses less digits than its factorization.

11497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 11497920 is about 3390.8582984253. The cubic root of 11497920 is about 225.7042624554.

The spelling of 11497920 in words is "eleven million, four hundred ninety-seven thousand, nine hundred twenty".