36960000 has 360 divisors, whose sum is σ = 153250944. Its totient is φ = 7680000.

The previous prime is 36959999. The next prime is 36960013. The reversal of 36960000 is 6963.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3359995 + ... + 3360005.

Almost surely, 2^36960000 is an apocalyptic number.

36960000 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 36960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76625472).

36960000 is an abundant number, since it is smaller than the sum of its proper divisors (116290944).

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

36960000 is an equidigital number, since it uses as much as digits as its factorization.

36960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 36960000 is about 6079.4736614283. The cubic root of 36960000 is about 333.1020617998.

Adding to 36960000 its reverse (6963), we get a palindrome (36966963).

The spelling of 36960000 in words is "thirty-six million, nine hundred sixty thousand".