746538 has 32 divisors (see below), whose sum is σ = 1705536. Its totient is φ = 215808.

The previous prime is 746533. The next prime is 746561. The reversal of 746538 is 835647.

It is a junction number, because it is equal to n+sod(n) for n = 746499 and 746508.

It is not an unprimeable number, because it can be changed into a prime (746531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045 + ... + 1607.

It is an arithmetic number, because the mean of its divisors is an integer number (53298).

746538 is a Friedman number, since it can be written as 7*6+(8+4)^5*3, using all its digits and the basic arithmetic operations.

2⁷⁴⁶⁵³⁸ is an apocalyptic number.

746538 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 746538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852768).

746538 is an abundant number, since it is smaller than the sum of its proper divisors (958998).

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

746538 is a wasteful number, since it uses less digits than its factorization.

746538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its digits is 20160, while the sum is 33.

The square root of 746538 is about 864.0243052137. The cubic root of 746538 is about 90.7160168428.

It can be divided in two parts, 7465 and 38, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 746538 in words is "seven hundred forty-six thousand, five hundred thirty-eight".