36006768 has 180 divisors, whose sum is σ = 122028400. Its totient is φ = 10287648.

The previous prime is 36006757. The next prime is 36006787. The reversal of 36006768 is 86760063.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5143821 + ... + 5143827.

Almost surely, 2^36006768 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 36006768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61014200).

36006768 is an abundant number, since it is smaller than the sum of its proper divisors (86021632).

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

36006768 is an frugal number, since it uses more digits than its factorization.

36006768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 36006768 is about 6000.5639734945. The cubic root of 36006768 is about 330.2134156703.

Multiplying 36006768 by its product of nonzero digits (36288), we get a square (1306613597184 = 1143072²).

The spelling of 36006768 in words is "thirty-six million, six thousand, seven hundred sixty-eight".