36476960 has 144 divisors (see below), whose sum is σ = 99610560. Its totient is φ = 12579840.

The previous prime is 36476953. The next prime is 36476969. The reversal of 36476960 is 6967463.

It is a happy number.

It is a super-2 number, since 2×36476960² = 2661137221683200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (36476969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513725 + ... + 513795.

It is an arithmetic number, because the mean of its divisors is an integer number (691740).

Almost surely, 2^36476960 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 36476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49805280).

36476960 is an abundant number, since it is smaller than the sum of its proper divisors (63133600).

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

36476960 is a wasteful number, since it uses less digits than its factorization.

36476960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 36476960 is about 6039.6158818256. The cubic root of 36476960 is about 331.6445608132.

The spelling of 36476960 in words is "thirty-six million, four hundred seventy-six thousand, nine hundred sixty".