737664 has 64 divisors (see below), whose sum is σ = 2093040. Its totient is φ = 229376.

The previous prime is 737663. The next prime is 737683. The reversal of 737664 is 466737.

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (21168) is a multiple of the sum of its prime factors (147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (737663) 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, 6472 + ... + 6584.

2⁷³⁷⁶⁶⁴ 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 737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046520).

737664 is an abundant number, since it is smaller than the sum of its proper divisors (1355376).

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

737664 is a wasteful number, since it uses less digits than its factorization.

737664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 737664 is about 858.8736810498. The cubic root of 737664 is about 90.3551399843.

The spelling of 737664 in words is "seven hundred thirty-seven thousand, six hundred sixty-four".