90756144 has 60 divisors (see below), whose sum is σ = 259915656. Its totient is φ = 29546496.

The previous prime is 90756131. The next prime is 90756151. The reversal of 90756144 is 44165709.

90756144 is a `hidden beast` number, since 90 + 7 + 561 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90756099 and 90756108.

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 11 ways as a sum of consecutive naturals, for example, 1137 + ... + 13520.

Almost surely, 2^90756144 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 90756144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129957828).

90756144 is an abundant number, since it is smaller than the sum of its proper divisors (169159512).

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

90756144 is a wasteful number, since it uses less digits than its factorization.

90756144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14714 (or 14705 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 90756144 is about 9526.6019125394. The cubic root of 90756144 is about 449.3920085471.

The spelling of 90756144 in words is "ninety million, seven hundred fifty-six thousand, one hundred forty-four".