906649920 has 168 divisors, whose sum is σ = 3402116640. Its totient is φ = 219786240.

The previous prime is 906649889. The next prime is 906649921. The reversal of 906649920 is 29946609.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906649921) 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, 17371 + ... + 45989.

Almost surely, 2^906649920 is an apocalyptic number.

906649920 is a gapful number since it is divisible by the number (90) 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 906649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701058320).

906649920 is an abundant number, since it is smaller than the sum of its proper divisors (2495466720).

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

906649920 is a wasteful number, since it uses less digits than its factorization.

906649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28653 (or 28640 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 906649920 is about 30110.6280240051. The cubic root of 906649920 is about 967.8614878195.

The spelling of 906649920 in words is "nine hundred six million, six hundred forty-nine thousand, nine hundred twenty".