36681440 has 48 divisors (see below), whose sum is σ = 87907680. Its totient is φ = 14461440.

The previous prime is 36681431. The next prime is 36681487. The reversal of 36681440 is 4418663.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 36681397 and 36681406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9746 + ... + 12974.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^36681440 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 36681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43953840).

36681440 is an abundant number, since it is smaller than the sum of its proper divisors (51226240).

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

36681440 is a wasteful number, since it uses less digits than its factorization.

36681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 36681440 is about 6056.5204531975. The cubic root of 36681440 is about 332.2631097642.

The spelling of 36681440 in words is "thirty-six million, six hundred eighty-one thousand, four hundred forty".