36670080 has 128 divisors (see below), whose sum is σ = 118972800. Its totient is φ = 9605120.

The previous prime is 36670079. The next prime is 36670097. The reversal of 36670080 is 8007663.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 136186 + ... + 136454.

It is an arithmetic number, because the mean of its divisors is an integer number (929475).

Almost surely, 2^36670080 is an apocalyptic number.

36670080 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 36670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59486400).

36670080 is an abundant number, since it is smaller than the sum of its proper divisors (82302720).

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

36670080 is a wasteful number, since it uses less digits than its factorization.

36670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 36670080 is about 6055.5825483598. The cubic root of 36670080 is about 332.2288063250.

The spelling of 36670080 in words is "thirty-six million, six hundred seventy thousand, eighty".