36420120 has 192 divisors, whose sum is σ = 136974240. Its totient is φ = 8294400.

The previous prime is 36420101. The next prime is 36420127. The reversal of 36420120 is 2102463.

It is a happy number.

36420120 is a `hidden beast` number, since 3 + 642 + 0 + 1 + 20 = 666.

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 = 36420093 and 36420102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36420127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67050 + ... + 67590.

Almost surely, 2^36420120 is an apocalyptic number.

36420120 is a gapful number since it is divisible by the number (30) 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 36420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68487120).

36420120 is an abundant number, since it is smaller than the sum of its proper divisors (100554120).

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

36420120 is a wasteful number, since it uses less digits than its factorization.

36420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36420120 is about 6034.9084500098. The cubic root of 36420120 is about 331.4722102241.

Adding to 36420120 its reverse (2102463), we get a palindrome (38522583).

The spelling of 36420120 in words is "thirty-six million, four hundred twenty thousand, one hundred twenty".