36532320 has 288 divisors, whose sum is σ = 137549664. Its totient is φ = 8110080.

The previous prime is 36532319. The next prime is 36532361. The reversal of 36532320 is 2323563.

It is a super-2 number, since 2×36532320² = 2669220809164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987342 + ... + 987378.

It is an arithmetic number, because the mean of its divisors is an integer number (477603).

Almost surely, 2^36532320 is an apocalyptic number.

36532320 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 36532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68774832).

36532320 is an abundant number, since it is smaller than the sum of its proper divisors (101017344).

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

36532320 is a wasteful number, since it uses less digits than its factorization.

36532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 36532320 is about 6044.1972171662. The cubic root of 36532320 is about 331.8122517123.

Adding to 36532320 its reverse (2323563), we get a palindrome (38855883).

The spelling of 36532320 in words is "thirty-six million, five hundred thirty-two thousand, three hundred twenty".