738640 has 40 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 253056.

The previous prime is 738623. The next prime is 738643. The reversal of 738640 is 46837.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 738599 and 738608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738643) 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, 100 + ... + 1219.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁷³⁸⁶⁴⁰ is an apocalyptic number.

738640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

738640 is an abundant number, since it is smaller than the sum of its proper divisors (1225520).

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

738640 is a wasteful number, since it uses less digits than its factorization.

738640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1333 counting only the distinct ones).

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

The square root of 738640 is about 859.4416792313. The cubic root of 738640 is about 90.3949719186.

It can be divided in two parts, 738 and 640, that added together give a triangular number (1378 = T₅₂).

The spelling of 738640 in words is "seven hundred thirty-eight thousand, six hundred forty".