36003620 has 36 divisors (see below), whose sum is σ = 80329620. Its totient is φ = 13552128.

The previous prime is 36003619. The next prime is 36003659. The reversal of 36003620 is 2630063.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1827904 + 34175716 = 1352^2 + 5846^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 36003592 and 36003601.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2666 + ... + 8894.

Almost surely, 2^36003620 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 36003620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40164810).

36003620 is an abundant number, since it is smaller than the sum of its proper divisors (44326000).

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

36003620 is a wasteful number, since it uses less digits than its factorization.

36003620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 36003620 is about 6000.3016590835. The cubic root of 36003620 is about 330.2037920895.

Adding to 36003620 its reverse (2630063), we get a palindrome (38633683).

The spelling of 36003620 in words is "thirty-six million, three thousand, six hundred twenty".