36025968 has 120 divisors (see below), whose sum is σ = 106386048. Its totient is φ = 10416000.

The previous prime is 36025949. The next prime is 36026047. The reversal of 36025968 is 86952063.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507373 + ... + 507443.

Almost surely, 2^36025968 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 36025968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53193024).

36025968 is an abundant number, since it is smaller than the sum of its proper divisors (70360080).

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

36025968 is a wasteful number, since it uses less digits than its factorization.

36025968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 36025968 is about 6002.1636098994. The cubic root of 36025968 is about 330.2720988138.

The spelling of 36025968 in words is "thirty-six million, twenty-five thousand, nine hundred sixty-eight".