36681920 has 112 divisors (see below), whose sum is σ = 101059488. Its totient is φ = 12533760.

The previous prime is 36681901. The next prime is 36681929. The reversal of 36681920 is 2918663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36681929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59534 + ... + 60146.

Almost surely, 2^36681920 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 36681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50529744).

36681920 is an abundant number, since it is smaller than the sum of its proper divisors (64377568).

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

36681920 is a wasteful number, since it uses less digits than its factorization.

36681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 36681920 is about 6056.5600797813. The cubic root of 36681920 is about 332.2645590493.

The spelling of 36681920 in words is "thirty-six million, six hundred eighty-one thousand, nine hundred twenty".