906984 has 128 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 248832.

The previous prime is 906973. The next prime is 907019. The reversal of 906984 is 489609.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47727 + ... + 47745.

It is an arithmetic number, because the mean of its divisors is an integer number (23625).

2⁹⁰⁶⁹⁸⁴ 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 906984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

906984 is an abundant number, since it is smaller than the sum of its proper divisors (2117016).

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

906984 is a wasteful number, since it uses less digits than its factorization.

906984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 906984 is about 952.3570758912. The cubic root of 906984 is about 96.7980351581.

The spelling of 906984 in words is "nine hundred six thousand, nine hundred eighty-four".