36685440 has 256 divisors, whose sum is σ = 142473600. Its totient is φ = 8847360.

The previous prime is 36685417. The next prime is 36685457. The reversal of 36685440 is 4458663.

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 = 36685395 and 36685404.

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, 189984 + ... + 190176.

Almost surely, 2^36685440 is an apocalyptic number.

36685440 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 36685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71236800).

36685440 is an abundant number, since it is smaller than the sum of its proper divisors (105788160).

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

36685440 is a wasteful number, since it uses less digits than its factorization.

36685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 36685440 is about 6056.8506668070. The cubic root of 36685440 is about 332.2751867540.

The spelling of 36685440 in words is "thirty-six million, six hundred eighty-five thousand, four hundred forty".