536340420 has 192 divisors, whose sum is σ = 2080512000. Its totient is φ = 111438720.

The previous prime is 536340403. The next prime is 536340449. The reversal of 536340420 is 24043635.

536340420 is a `hidden beast` number, since 5 + 3 + 634 + 0 + 4 + 20 = 666.

It is a super-2 number, since 2×536340420² = 575322092251552800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35131 + ... + 48029.

It is an arithmetic number, because the mean of its divisors is an integer number (10836000).

Almost surely, 2^536340420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040256000).

536340420 is an abundant number, since it is smaller than the sum of its proper divisors (1544171580).

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

536340420 is a wasteful number, since it uses less digits than its factorization.

536340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935 (or 12927 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 536340420 is about 23159.0245908587. The cubic root of 536340420 is about 812.4815528751.

The spelling of 536340420 in words is "five hundred thirty-six million, three hundred forty thousand, four hundred twenty".