906077088 has 144 divisors (see below), whose sum is σ = 3072940416. Its totient is φ = 247610880.

The previous prime is 906077071. The next prime is 906077099. The reversal of 906077088 is 880770609.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36598 + ... + 56138.

It is an arithmetic number, because the mean of its divisors is an integer number (21339864).

Almost surely, 2^906077088 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 906077088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536470208).

906077088 is an abundant number, since it is smaller than the sum of its proper divisors (2166863328).

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

906077088 is a wasteful number, since it uses less digits than its factorization.

906077088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19587 (or 19576 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 906077088 is about 30101.1143979754. The cubic root of 906077088 is about 967.6576094816.

The spelling of 906077088 in words is "nine hundred six million, seventy-seven thousand, eighty-eight".