36088416 has 336 divisors, whose sum is σ = 138819744. Its totient is φ = 8957952.

The previous prime is 36088397. The next prime is 36088417. The reversal of 36088416 is 61488063.

It is a happy number.

36088416 is a `hidden beast` number, since 3 + 608 + 8 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (36088417) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2122840 + ... + 2122856.

It is an arithmetic number, because the mean of its divisors is an integer number (413154).

Almost surely, 2^36088416 is an apocalyptic number.

36088416 is a gapful number since it is divisible by the number (36) 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 36088416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69409872).

36088416 is an abundant number, since it is smaller than the sum of its proper divisors (102731328).

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

36088416 is a wasteful number, since it uses less digits than its factorization.

36088416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 42 counting only the distinct ones).

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

The square root of 36088416 is about 6007.3634815949. The cubic root of 36088416 is about 330.4628216682.

The spelling of 36088416 in words is "thirty-six million, eighty-eight thousand, four hundred sixteen".