906516480 has 192 divisors, whose sum is σ = 3028596480. Its totient is φ = 231047168.

The previous prime is 906516451. The next prime is 906516487. The reversal of 906516480 is 84615609.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906516487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705919 + ... + 707201.

It is an arithmetic number, because the mean of its divisors is an integer number (15773940).

Almost surely, 2^906516480 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 906516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514298240).

906516480 is an abundant number, since it is smaller than the sum of its proper divisors (2122080000).

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

906516480 is a wasteful number, since it uses less digits than its factorization.

906516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 906516480 is about 30108.4121135606. The cubic root of 906516480 is about 967.8140024668.

The spelling of 906516480 in words is "nine hundred six million, five hundred sixteen thousand, four hundred eighty".