36671616 has 128 divisors (see below), whose sum is σ = 110404800. Its totient is φ = 12130560.

The previous prime is 36671611. The next prime is 36671617. The reversal of 36671616 is 61617663.

36671616 is a `hidden beast` number, since 36 + 6 + 7 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (36671611) 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, 279871 + ... + 280001.

Almost surely, 2^36671616 is an apocalyptic number.

36671616 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 36671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55202400).

36671616 is an abundant number, since it is smaller than the sum of its proper divisors (73733184).

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

36671616 is an frugal number, since it uses more digits than its factorization.

36671616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 36671616 is about 6055.7093721545. The cubic root of 36671616 is about 332.2334449506.

The spelling of 36671616 in words is "thirty-six million, six hundred seventy-one thousand, six hundred sixteen".