906649600 has 168 divisors, whose sum is σ = 2376845640. Its totient is φ = 342097920.

The previous prime is 906649573. The next prime is 906649603. The reversal of 906649600 is 6946609.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906649603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3891084 + ... + 3891316.

Almost surely, 2^906649600 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 906649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188422820).

906649600 is an abundant number, since it is smaller than the sum of its proper divisors (1470196040).

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

906649600 is a wasteful number, since it uses less digits than its factorization.

906649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 906649600 is about 30110.6227102662. The cubic root of 906649600 is about 967.8613739513.

The spelling of 906649600 in words is "nine hundred six million, six hundred forty-nine thousand, six hundred".