906246144 has 168 divisors, whose sum is σ = 2721307680. Its totient is φ = 301584384.

The previous prime is 906246127. The next prime is 906246167. The reversal of 906246144 is 441642609.

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

It is a junction number, because it is equal to n+sod(n) for n = 906246099 and 906246108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492689 + ... + 1493295.

It is an arithmetic number, because the mean of its divisors is an integer number (16198260).

Almost surely, 2^906246144 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 906246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360653840).

906246144 is an abundant number, since it is smaller than the sum of its proper divisors (1815061536).

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

906246144 is an frugal number, since it uses more digits than its factorization.

906246144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 906246144 is about 30103.9224022385. The cubic root of 906246144 is about 967.7177876400.

The spelling of 906246144 in words is "nine hundred six million, two hundred forty-six thousand, one hundred forty-four".