36362520 has 224 divisors, whose sum is σ = 129848400. Its totient is φ = 9144576.

The previous prime is 36362519. The next prime is 36362533. The reversal of 36362520 is 2526363.

36362520 is a `hidden beast` number, since 3 + 636 + 2 + 5 + 20 = 666.

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

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 55 ways as a sum of consecutive naturals, for example, 845619 + ... + 845661.

Almost surely, 2^36362520 is an apocalyptic number.

36362520 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 36362520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64924200).

36362520 is an abundant number, since it is smaller than the sum of its proper divisors (93485880).

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

36362520 is a wasteful number, since it uses less digits than its factorization.

36362520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36362520 is about 6030.1343268620. The cubic root of 36362520 is about 331.2973721261.

Adding to 36362520 its reverse (2526363), we get a palindrome (38888883).

The spelling of 36362520 in words is "thirty-six million, three hundred sixty-two thousand, five hundred twenty".