36055968 has 96 divisors (see below), whose sum is σ = 103130496. Its totient is φ = 10963968.

The previous prime is 36055951. The next prime is 36055969. The reversal of 36055968 is 86955063.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (36055969) 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, 208330 + ... + 208502.

It is an arithmetic number, because the mean of its divisors is an integer number (1074276).

Almost surely, 2^36055968 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 36055968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51565248).

36055968 is an abundant number, since it is smaller than the sum of its proper divisors (67074528).

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

36055968 is a wasteful number, since it uses less digits than its factorization.

36055968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 36055968 is about 6004.6621886664. The cubic root of 36055968 is about 330.3637494990.

The spelling of 36055968 in words is "thirty-six million, fifty-five thousand, nine hundred sixty-eight".