738864 has 60 divisors (see below), whose sum is σ = 2366416. Its totient is φ = 210816.

The previous prime is 738863. The next prime is 738877. The reversal of 738864 is 468837.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (738863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642 + ... + 1374.

2⁷³⁸⁸⁶⁴ 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 738864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183208).

738864 is an abundant number, since it is smaller than the sum of its proper divisors (1627552).

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

738864 is a wasteful number, since it uses less digits than its factorization.

738864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 745 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 738864 is about 859.5719865142. The cubic root of 738864 is about 90.4041087229.

The spelling of 738864 in words is "seven hundred thirty-eight thousand, eight hundred sixty-four".