90907776 has 192 divisors, whose sum is σ = 282597120. Its totient is φ = 27979776.

The previous prime is 90907771. The next prime is 90907781. The reversal of 90907776 is 67770909.

It is an interprime number because it is at equal distance from previous prime (90907771) and next prime (90907781).

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

It is not an unprimeable number, because it can be changed into a prime (90907771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245276 + ... + 1245348.

It is an arithmetic number, because the mean of its divisors is an integer number (1471860).

Almost surely, 2^90907776 is an apocalyptic number.

90907776 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 90907776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141298560).

90907776 is an abundant number, since it is smaller than the sum of its proper divisors (191689344).

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

90907776 is a wasteful number, since it uses less digits than its factorization.

90907776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 90907776 is about 9534.5569377921. The cubic root of 90907776 is about 449.6421451270.

The spelling of 90907776 in words is "ninety million, nine hundred seven thousand, seven hundred seventy-six".