90654144 has 112 divisors (see below), whose sum is σ = 281683968. Its totient is φ = 25187328.

The previous prime is 90654143. The next prime is 90654169. The reversal of 90654144 is 44145609.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90654143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48817 + ... + 50639.

Almost surely, 2^90654144 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 90654144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140841984).

90654144 is an abundant number, since it is smaller than the sum of its proper divisors (191029824).

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

90654144 is a wasteful number, since it uses less digits than its factorization.

90654144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 90654144 is about 9521.2469771559. The cubic root of 90654144 is about 449.2235895807.

The spelling of 90654144 in words is "ninety million, six hundred fifty-four thousand, one hundred forty-four".