36529416 has 144 divisors (see below), whose sum is σ = 124488000. Its totient is φ = 9472320.

The previous prime is 36529411. The next prime is 36529421. The reversal of 36529416 is 61492563.

It is a happy number.

36529416 is a `hidden beast` number, since 365 + 294 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (36529411) and next prime (36529421).

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (36529411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60685 + ... + 61283.

It is an arithmetic number, because the mean of its divisors is an integer number (864500).

Almost surely, 2^36529416 is an apocalyptic number.

36529416 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 36529416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62244000).

36529416 is an abundant number, since it is smaller than the sum of its proper divisors (87958584).

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

36529416 is a wasteful number, since it uses less digits than its factorization.

36529416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 622 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 36529416 is about 6043.9569819779. The cubic root of 36529416 is about 331.8034594217.

The spelling of 36529416 in words is "thirty-six million, five hundred twenty-nine thousand, four hundred sixteen".