36067680 has 360 divisors, whose sum is σ = 145995696. Its totient is φ = 8363520.

The previous prime is 36067631. The next prime is 36067697. The reversal of 36067680 is 8676063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 59 ways as a sum of consecutive naturals, for example, 1568149 + ... + 1568171.

Almost surely, 2^36067680 is an apocalyptic number.

36067680 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 36067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72997848).

36067680 is an abundant number, since it is smaller than the sum of its proper divisors (109928016).

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

36067680 is a wasteful number, since it uses less digits than its factorization.

36067680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

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

The square root of 36067680 is about 6005.6373516888. The cubic root of 36067680 is about 330.3995161286.

The spelling of 36067680 in words is "thirty-six million, sixty-seven thousand, six hundred eighty".