906440 has 64 divisors (see below), whose sum is σ = 2280960. Its totient is φ = 322560.

The previous prime is 906431. The next prime is 906461. The reversal of 906440 is 44609.

906440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21059 + ... + 21101.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2⁹⁰⁶⁴⁴⁰ 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 906440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140480).

906440 is an abundant number, since it is smaller than the sum of its proper divisors (1374520).

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

906440 is a wasteful number, since it uses less digits than its factorization.

906440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 906440 is about 952.0714258920. The cubic root of 906440 is about 96.7786784540.

The spelling of 906440 in words is "nine hundred six thousand, four hundred forty".