36089952 has 96 divisors (see below), whose sum is σ = 99800064. Its totient is φ = 11404800.

The previous prime is 36089947. The next prime is 36089957. The reversal of 36089952 is 25998063.

It is an interprime number because it is at equal distance from previous prime (36089947) and next prime (36089957).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36089957) 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, 199302 + ... + 199482.

It is an arithmetic number, because the mean of its divisors is an integer number (1039584).

Almost surely, 2^36089952 is an apocalyptic number.

36089952 is a gapful number since it is divisible by the number (32) 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 36089952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49900032).

36089952 is an abundant number, since it is smaller than the sum of its proper divisors (63710112).

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

36089952 is a wasteful number, since it uses less digits than its factorization.

36089952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 36089952 is about 6007.4913233396. The cubic root of 36089952 is about 330.4675100027.

The spelling of 36089952 in words is "thirty-six million, eighty-nine thousand, nine hundred fifty-two".