90953712 has 80 divisors (see below), whose sum is σ = 262795680. Its totient is φ = 30117888.

The previous prime is 90953701. The next prime is 90953713. The reversal of 90953712 is 21735909.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90953713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74128 + ... + 75344.

It is an arithmetic number, because the mean of its divisors is an integer number (3284946).

Almost surely, 2^90953712 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 90953712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131397840).

90953712 is an abundant number, since it is smaller than the sum of its proper divisors (171841968).

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

90953712 is a wasteful number, since it uses less digits than its factorization.

90953712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 90953712 is about 9536.9655551438. The cubic root of 90953712 is about 449.7178675954.

The spelling of 90953712 in words is "ninety million, nine hundred fifty-three thousand, seven hundred twelve".