36416000 has 80 divisors (see below), whose sum is σ = 90965160. Its totient is φ = 14540800.

The previous prime is 36415991. The next prime is 36416053. The reversal of 36416000 is 61463.

It can be written as a sum of positive squares in 4 ways, for example, as 5234944 + 31181056 = 2288^2 + 5584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×36416000² = 2652250112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63716 + ... + 64284.

Almost surely, 2^36416000 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 36416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45482580).

36416000 is an abundant number, since it is smaller than the sum of its proper divisors (54549160).

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

36416000 is an frugal number, since it uses more digits than its factorization.

36416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 36416000 is about 6034.5670930068. The cubic root of 36416000 is about 331.4597105673.

Adding to 36416000 its reverse (61463), we get a palindrome (36477463).

The spelling of 36416000 in words is "thirty-six million, four hundred sixteen thousand".