36978560 has 64 divisors (see below), whose sum is σ = 93085200. Its totient is φ = 14008320.

The previous prime is 36978559. The next prime is 36978563. The reversal of 36978560 is 6587963.

It is a Cunningham number, because it is equal to 6081²-1.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36978563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10640 + ... + 13680.

Almost surely, 2^36978560 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 36978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46542600).

36978560 is an abundant number, since it is smaller than the sum of its proper divisors (56106640).

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

36978560 is a wasteful number, since it uses less digits than its factorization.

36978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 36978560 is about 6080.9999177767. Note that the first 4 decimals coincide. The cubic root of 36978560 is about 333.1578098129.

The spelling of 36978560 in words is "thirty-six million, nine hundred seventy-eight thousand, five hundred sixty".