737968 has 40 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 287040.

The previous prime is 737929. The next prime is 737969. The reversal of 737968 is 869737.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 737968.

It is not an unprimeable number, because it can be changed into a prime (737969) by changing a digit.

737968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

2⁷³⁷⁹⁶⁸ 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 737968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

737968 is an abundant number, since it is smaller than the sum of its proper divisors (1047632).

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

737968 is a wasteful number, since it uses less digits than its factorization.

737968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 737968 is about 859.0506387868. The cubic root of 737968 is about 90.3675504178.

Subtracting 737968 from its reverse (869737), we obtain a square (131769 = 363²).

It can be divided in two parts, 7379 and 68, that added together give a palindrome (7447).

The spelling of 737968 in words is "seven hundred thirty-seven thousand, nine hundred sixty-eight".