906724 has 48 divisors (see below), whose sum is σ = 2032128. Its totient is φ = 344448.

The previous prime is 906713. The next prime is 906727. The reversal of 906724 is 427609.

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 = 906692 and 906701.

It is not an unprimeable number, because it can be changed into a prime (906727) 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, 17082 + ... + 17134.

It is an arithmetic number, because the mean of its divisors is an integer number (42336).

2⁹⁰⁶⁷²⁴ is an apocalyptic number.

906724 is a gapful number since it is divisible by the number (94) 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 906724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064).

906724 is an abundant number, since it is smaller than the sum of its proper divisors (1125404).

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

906724 is a wasteful number, since it uses less digits than its factorization.

906724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 906724 is about 952.2205626849. The cubic root of 906724 is about 96.7887847581.

The spelling of 906724 in words is "nine hundred six thousand, seven hundred twenty-four".