36579840 has 160 divisors (see below), whose sum is σ = 127866816. Its totient is φ = 8847360.

The previous prime is 36579833. The next prime is 36579853. The reversal of 36579840 is 4897563.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 36579792 and 36579801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84264 + ... + 84696.

Almost surely, 2^36579840 is an apocalyptic number.

36579840 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 36579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63933408).

36579840 is an abundant number, since it is smaller than the sum of its proper divisors (91286976).

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

36579840 is a wasteful number, since it uses less digits than its factorization.

36579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 36579840 is about 6048.1269827939. The cubic root of 36579840 is about 331.9560594094.

The spelling of 36579840 in words is "thirty-six million, five hundred seventy-nine thousand, eight hundred forty".