906220224 has 560 divisors, whose sum is σ = 3531705408. Its totient is φ = 222953472.

The previous prime is 906220193. The next prime is 906220247. The reversal of 906220224 is 422022609.

It is a super-2 number, since 2×906220224² = 1642470188773220352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8019592 + ... + 8019704.

Almost surely, 2^906220224 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 906220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765852704).

906220224 is an abundant number, since it is smaller than the sum of its proper divisors (2625485184).

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

906220224 is a wasteful number, since it uses less digits than its factorization.

906220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 906220224 is about 30103.4918904768. The cubic root of 906220224 is about 967.7085614916.

The spelling of 906220224 in words is "nine hundred six million, two hundred twenty thousand, two hundred twenty-four".