738920 has 96 divisors (see below), whose sum is σ = 2154600. Its totient is φ = 225792.

The previous prime is 738919. The next prime is 738923. The reversal of 738920 is 29837.

738920 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 4 ways, for example, as 470596 + 268324 = 686^2 + 518^2 .

It is a hoax number, since the sum of its digits (29) 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 (29).

It is not an unprimeable number, because it can be changed into a prime (738923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25466 + ... + 25494.

2⁷³⁸⁹²⁰ is an apocalyptic number.

738920 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 738920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077300).

738920 is an abundant number, since it is smaller than the sum of its proper divisors (1415680).

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

738920 is a wasteful number, since it uses less digits than its factorization.

738920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 738920 is about 859.6045602485. The cubic root of 738920 is about 90.4063926354.

The spelling of 738920 in words is "seven hundred thirty-eight thousand, nine hundred twenty".