36261680 has 160 divisors (see below), whose sum is σ = 110242944. Its totient is φ = 10764288.

The previous prime is 36261679. The next prime is 36261733. The reversal of 36261680 is 8616263.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123614 + ... + 123906.

Almost surely, 2^36261680 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 36261680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55121472).

36261680 is an abundant number, since it is smaller than the sum of its proper divisors (73981264).

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

36261680 is a wasteful number, since it uses less digits than its factorization.

36261680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 36261680 is about 6021.7671824806. The cubic root of 36261680 is about 330.9908389441.

The spelling of 36261680 in words is "thirty-six million, two hundred sixty-one thousand, six hundred eighty".