36968448 has 96 divisors (see below), whose sum is σ = 107714880. Its totient is φ = 11182080.

The previous prime is 36968447. The next prime is 36968453. The reversal of 36968448 is 84486963.

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

It is a super-2 number, since 2×36968448² = 2733332295057408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 36968397 and 36968406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36968443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67311 + ... + 67857.

It is an arithmetic number, because the mean of its divisors is an integer number (1122030).

Almost surely, 2^36968448 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 36968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53857440).

36968448 is an abundant number, since it is smaller than the sum of its proper divisors (70746432).

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

36968448 is a wasteful number, since it uses less digits than its factorization.

36968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 563 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 36968448 is about 6080.1684187200. The cubic root of 36968448 is about 333.1274390711.

The spelling of 36968448 in words is "thirty-six million, nine hundred sixty-eight thousand, four hundred forty-eight".