36265320 has 384 divisors, whose sum is σ = 154103040. Its totient is φ = 7464960.

The previous prime is 36265277. The next prime is 36265321. The reversal of 36265320 is 2356263.

36265320 is a `hidden beast` number, since 3 + 6 + 2 + 653 + 2 + 0 = 666.

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 (36265321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 884500 + ... + 884540.

It is an arithmetic number, because the mean of its divisors is an integer number (401310).

Almost surely, 2^36265320 is an apocalyptic number.

36265320 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 36265320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

36265320 is an abundant number, since it is smaller than the sum of its proper divisors (117837720).

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

36265320 is a wasteful number, since it uses less digits than its factorization.

36265320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

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

The square root of 36265320 is about 6022.0694117554. The cubic root of 36265320 is about 331.0019136869.

It can be divided in two parts, 36265 and 320, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 36265320 in words is "thirty-six million, two hundred sixty-five thousand, three hundred twenty".