90064256 has 64 divisors (see below), whose sum is σ = 195534000. Its totient is φ = 41158656.

The previous prime is 90064229. The next prime is 90064259. The reversal of 90064256 is 65246009.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×90064256² = 16223140417667072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90064259) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 69890 + ... + 71166.

Almost surely, 2^90064256 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 90064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97767000).

90064256 is an abundant number, since it is smaller than the sum of its proper divisors (105469744).

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

90064256 is a wasteful number, since it uses less digits than its factorization.

90064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 90064256 is about 9490.2189648079. The cubic root of 90064256 is about 448.2471000783.

It can be divided in two parts, 900 and 64256, that added together give a palindrome (65156).

The spelling of 90064256 in words is "ninety million, sixty-four thousand, two hundred fifty-six".