36031968 has 144 divisors (see below), whose sum is σ = 119429856. Its totient is φ = 10091520.

The previous prime is 36031927. The next prime is 36031973. The reversal of 36031968 is 86913063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 122830 + ... + 123122.

It is an arithmetic number, because the mean of its divisors is an integer number (829374).

Almost surely, 2^36031968 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 36031968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59714928).

36031968 is an abundant number, since it is smaller than the sum of its proper divisors (83397888).

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

36031968 is a wasteful number, since it uses less digits than its factorization.

36031968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 36031968 is about 6002.6634088544. The cubic root of 36031968 is about 330.2904330201.

The spelling of 36031968 in words is "thirty-six million, thirty-one thousand, nine hundred sixty-eight".