36528240 has 160 divisors (see below), whose sum is σ = 137134080. Its totient is φ = 7852032.

The previous prime is 36528221. The next prime is 36528277. The reversal of 36528240 is 4282563.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36528198 and 36528207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27921 + ... + 29199.

It is an arithmetic number, because the mean of its divisors is an integer number (857088).

Almost surely, 2^36528240 is an apocalyptic number.

36528240 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 36528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68567040).

36528240 is an abundant number, since it is smaller than the sum of its proper divisors (100605840).

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

36528240 is a wasteful number, since it uses less digits than its factorization.

36528240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 36528240 is about 6043.8596939373. The cubic root of 36528240 is about 331.7998987748.

The spelling of 36528240 in words is "thirty-six million, five hundred twenty-eight thousand, two hundred forty".