36696480 has 96 divisors (see below), whose sum is σ = 117028800. Its totient is φ = 9664512.

The previous prime is 36696479. The next prime is 36696481. The reversal of 36696480 is 8469663.

36696480 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 (36696479) and next prime (36696481).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (36696481) 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 15 ways as a sum of consecutive naturals, for example, 42291 + ... + 43149.

It is an arithmetic number, because the mean of its divisors is an integer number (1219050).

Almost surely, 2^36696480 is an apocalyptic number.

36696480 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 36696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58514400).

36696480 is an abundant number, since it is smaller than the sum of its proper divisors (80332320).

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

36696480 is a wasteful number, since it uses less digits than its factorization.

36696480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 36696480 is about 6057.7619629695. The cubic root of 36696480 is about 332.3085146914.

The spelling of 36696480 in words is "thirty-six million, six hundred ninety-six thousand, four hundred eighty".