36147408 has 80 divisors (see below), whose sum is σ = 102660096. Its totient is φ = 10869120.

The previous prime is 36147407. The next prime is 36147451. The reversal of 36147408 is 80474163.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36147407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117591 + ... + 117897.

Almost surely, 2^36147408 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 36147408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51330048).

36147408 is an abundant number, since it is smaller than the sum of its proper divisors (66512688).

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

36147408 is a wasteful number, since it uses less digits than its factorization.

36147408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 36147408 is about 6012.2714509576. The cubic root of 36147408 is about 330.6427875432.

The spelling of 36147408 in words is "thirty-six million, one hundred forty-seven thousand, four hundred eight".