90814464 has 144 divisors (see below), whose sum is σ = 283210200. Its totient is φ = 27869184.

The previous prime is 90814441. The next prime is 90814487. The reversal of 90814464 is 46441809.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90814441) and next prime (90814487).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239427 + ... + 239805.

Almost surely, 2^90814464 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 90814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141605100).

90814464 is an abundant number, since it is smaller than the sum of its proper divisors (192395736).

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

90814464 is a wasteful number, since it uses less digits than its factorization.

90814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 90814464 is about 9529.6623235034. The cubic root of 90814464 is about 449.4882478719.

The spelling of 90814464 in words is "ninety million, eight hundred fourteen thousand, four hundred sixty-four".