36676560 has 40 divisors (see below), whose sum is σ = 113698080. Its totient is φ = 9780352.

The previous prime is 36676553. The next prime is 36676567. The reversal of 36676560 is 6567663.

36676560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36676553) and next prime (36676567).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36676567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76170 + ... + 76649.

It is an arithmetic number, because the mean of its divisors is an integer number (2842452).

Almost surely, 2^36676560 is an apocalyptic number.

36676560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36676560 is an abundant number, since it is smaller than the sum of its proper divisors (77021520).

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

36676560 is a wasteful number, since it uses less digits than its factorization.

36676560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152835 (or 152829 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 36676560 is about 6056.1175682115. The cubic root of 36676560 is about 332.2483746476.

The spelling of 36676560 in words is "thirty-six million, six hundred seventy-six thousand, five hundred sixty".