11802420 has 288 divisors, whose sum is σ = 47174400. Its totient is φ = 2322432.

The previous prime is 11802409. The next prime is 11802443. The reversal of 11802420 is 2420811.

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 = 11802393 and 11802402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406966 + ... + 406994.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 2^11802420 is an apocalyptic number.

11802420 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 11802420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

11802420 is an abundant number, since it is smaller than the sum of its proper divisors (35371980).

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

11802420 is a wasteful number, since it uses less digits than its factorization.

11802420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11802420 is about 3435.4650340238. The cubic root of 11802420 is about 227.6793738907.

It can be divided in two parts, 1180 and 2420, that added together give a square (3600 = 60²).

The spelling of 11802420 in words is "eleven million, eight hundred two thousand, four hundred twenty".