11401920 has 168 divisors, whose sum is σ = 40654224. Its totient is φ = 2930688.

The previous prime is 11401909. The next prime is 11401921. The reversal of 11401920 is 2910411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11401893 and 11401902.

It is not an unprimeable number, because it can be changed into a prime (11401921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106507 + ... + 106613.

Almost surely, 2^11401920 is an apocalyptic number.

11401920 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 11401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327112).

11401920 is an abundant number, since it is smaller than the sum of its proper divisors (29252304).

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

11401920 is a wasteful number, since it uses less digits than its factorization.

11401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11401920 is about 3376.6729187175. The cubic root of 11401920 is about 225.0743458019.

It can be divided in two parts, 11401 and 920, that added together give a palindrome (12321).

The spelling of 11401920 in words is "eleven million, four hundred one thousand, nine hundred twenty".