37468 has 24 divisors (see below), whose sum is σ = 75600. Its totient is φ = 16128.

The previous prime is 37463. The next prime is 37483. The reversal of 37468 is 86473.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1278 + ... + 1306.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2³⁷⁴⁶⁸ is an apocalyptic number.

37468 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

37468 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

37468 is a wasteful number, since it uses less digits than its factorization.

37468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 67 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 37468 is about 193.5665260317. The cubic root of 37468 is about 33.4621239705.

It can be divided in two parts, 37 and 468, that added together give a palindrome (505).

The spelling of 37468 in words is "thirty-seven thousand, four hundred sixty-eight".