36687840 has 192 divisors, whose sum is σ = 134991360. Its totient is φ = 8202240.

The previous prime is 36687817. The next prime is 36687851. The reversal of 36687840 is 4878663.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 36687792 and 36687801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204871 + ... + 205049.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^36687840 is an apocalyptic number.

36687840 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 36687840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

36687840 is an abundant number, since it is smaller than the sum of its proper divisors (98303520).

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

36687840 is a wasteful number, since it uses less digits than its factorization.

36687840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 36687840 is about 6057.0487863315. The cubic root of 36687840 is about 332.2824325265.

The spelling of 36687840 in words is "thirty-six million, six hundred eighty-seven thousand, eight hundred forty".