36008856 has 192 divisors, whose sum is σ = 116363520. Its totient is φ = 9953280.

The previous prime is 36008831. The next prime is 36008879. The reversal of 36008856 is 65880063.

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

36008856 is a modest number, since divided by 8856 gives 360 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 36008856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493236 + ... + 493308.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 2^36008856 is an apocalyptic number.

36008856 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 36008856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58181760).

36008856 is an abundant number, since it is smaller than the sum of its proper divisors (80354664).

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

36008856 is a wasteful number, since it uses less digits than its factorization.

36008856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 36008856 is about 6000.7379546186. The cubic root of 36008856 is about 330.2197984730.

It can be divided in two parts, 36008 and 856, that added together give a square (36864 = 192²).

The spelling of 36008856 in words is "thirty-six million, eight thousand, eight hundred fifty-six".