906096576 has 224 divisors, whose sum is σ = 3015032832. Its totient is φ = 233303040.

The previous prime is 906096557. The next prime is 906096577. The reversal of 906096576 is 675690609.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×906096576² = 1642022010077847552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906096577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2468745 + ... + 2469111.

It is an arithmetic number, because the mean of its divisors is an integer number (13459968).

Almost surely, 2^906096576 is an apocalyptic number.

906096576 is a gapful number since it is divisible by the number (96) 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 906096576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507516416).

906096576 is an abundant number, since it is smaller than the sum of its proper divisors (2108936256).

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

906096576 is a wasteful number, since it uses less digits than its factorization.

906096576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 906096576 is about 30101.4381051803. The cubic root of 906096576 is about 967.6645469252.

The spelling of 906096576 in words is "nine hundred six million, ninety-six thousand, five hundred seventy-six".