90740052 has 72 divisors (see below), whose sum is σ = 253092840. Its totient is φ = 27233280.

The previous prime is 90740051. The next prime is 90740077. The reversal of 90740052 is 25004709.

It can be written as a sum of positive squares in 4 ways, for example, as 14107536 + 76632516 = 3756^2 + 8754^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90739998 and 90740025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90740051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16824 + ... + 21552.

Almost surely, 2^90740052 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 90740052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126546420).

90740052 is an abundant number, since it is smaller than the sum of its proper divisors (162352788).

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

90740052 is a wasteful number, since it uses less digits than its factorization.

90740052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 90740052 is about 9525.7572927301. The cubic root of 90740052 is about 449.3654463651.

The spelling of 90740052 in words is "ninety million, seven hundred forty thousand, fifty-two".