36416880 has 120 divisors (see below), whose sum is σ = 125697312. Its totient is φ = 9441792.

The previous prime is 36416879. The next prime is 36416881. The reversal of 36416880 is 8861463.

It is a happy number.

36416880 is a `hidden beast` number, since 3 + 641 + 6 + 8 + 8 + 0 = 666.

36416880 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 (36416879) and next prime (36416881).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36416881) 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 23 ways as a sum of consecutive naturals, for example, 25957 + ... + 27323.

Almost surely, 2^36416880 is an apocalyptic number.

36416880 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 36416880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62848656).

36416880 is an abundant number, since it is smaller than the sum of its proper divisors (89280432).

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

36416880 is a wasteful number, since it uses less digits than its factorization.

36416880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36416880 is about 6034.6400058330. The cubic root of 36416880 is about 331.4623804761.

The spelling of 36416880 in words is "thirty-six million, four hundred sixteen thousand, eight hundred eighty".