90774144 has 48 divisors (see below), whose sum is σ = 261215370. Its totient is φ = 30257664.

The previous prime is 90774137. The next prime is 90774149. The reversal of 90774144 is 44147709.

It can be written as a sum of positive squares in only one way, i.e., 64641600 + 26132544 = 8040^2 + 5112^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 = 90774099 and 90774108.

It is not an unprimeable number, because it can be changed into a prime (90774149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38247 + ... + 40550.

Almost surely, 2^90774144 is an apocalyptic number.

It is an amenable number.

90774144 is an abundant number, since it is smaller than the sum of its proper divisors (170441226).

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

90774144 is a wasteful number, since it uses less digits than its factorization.

90774144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78817 (or 78802 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 90774144 is about 9527.5465887079. The cubic root of 90774144 is about 449.4217164401.

The spelling of 90774144 in words is "ninety million, seven hundred seventy-four thousand, one hundred forty-four".