10963920 has 80 divisors (see below), whose sum is σ = 37086912. Its totient is φ = 2657280.

The previous prime is 10963913. The next prime is 10963921. The reversal of 10963920 is 2936901.

10963920 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10963921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564 + ... + 4716.

Almost surely, 2^10963920 is an apocalyptic number.

10963920 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 10963920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543456).

10963920 is an abundant number, since it is smaller than the sum of its proper divisors (26122992).

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

10963920 is a wasteful number, since it uses less digits than its factorization.

10963920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 10963920 is about 3311.1810581724. The cubic root of 10963920 is about 222.1545875652.

The spelling of 10963920 in words is "ten million, nine hundred sixty-three thousand, nine hundred twenty".