36953540 has 72 divisors (see below), whose sum is σ = 87065160. Its totient is φ = 13173888.

The previous prime is 36953533. The next prime is 36953551. The reversal of 36953540 is 4535963.

It can be written as a sum of positive squares in 12 ways, for example, as 36096064 + 857476 = 6008^2 + 926^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36953540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274246 + ... + 1274274.

Almost surely, 2^36953540 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 36953540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43532580).

36953540 is an abundant number, since it is smaller than the sum of its proper divisors (50111620).

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

36953540 is a wasteful number, since it uses less digits than its factorization.

36953540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The square root of 36953540 is about 6078.9423422171. The cubic root of 36953540 is about 333.0826537487.

The spelling of 36953540 in words is "thirty-six million, nine hundred fifty-three thousand, five hundred forty".