36765540 has 72 divisors (see below), whose sum is σ = 127458240. Its totient is φ = 8403264.

The previous prime is 36765539. The next prime is 36765563. The reversal of 36765540 is 4556763.

36765540 is a `hidden beast` number, since 36 + 76 + 554 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36765495 and 36765504.

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, 13330 + ... + 15849.

Almost surely, 2^36765540 is an apocalyptic number.

36765540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36765540 is an abundant number, since it is smaller than the sum of its proper divisors (90692700).

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

36765540 is a wasteful number, since it uses less digits than its factorization.

36765540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29201 (or 29196 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 36765540 is about 6063.4594086215. The cubic root of 36765540 is about 332.5168438901.

It can be divided in two parts, 3676 and 5540, that added together give a square (9216 = 96²).

The spelling of 36765540 in words is "thirty-six million, seven hundred sixty-five thousand, five hundred forty".