11892420 has 72 divisors (see below), whose sum is σ = 37425024. Its totient is φ = 3170016.

The previous prime is 11892389. The next prime is 11892421. The reversal of 11892420 is 2429811.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11892421) 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, 3637 + ... + 6083.

It is an arithmetic number, because the mean of its divisors is an integer number (519792).

Almost surely, 2^11892420 is an apocalyptic number.

11892420 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 11892420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512).

11892420 is an abundant number, since it is smaller than the sum of its proper divisors (25532604).

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

11892420 is a wasteful number, since it uses less digits than its factorization.

11892420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11892420 is about 3448.5388210081. The cubic root of 11892420 is about 228.2566362303.

The spelling of 11892420 in words is "eleven million, eight hundred ninety-two thousand, four hundred twenty".