90567540 has 72 divisors (see below), whose sum is σ = 313971840. Its totient is φ = 20700864.

The previous prime is 90567511. The next prime is 90567541. The reversal of 90567540 is 4576509.

90567540 is a `hidden beast` number, since 90 + 567 + 5 + 4 + 0 = 666.

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 = 90567495 and 90567504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90567541) 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, 34680 + ... + 37199.

It is an arithmetic number, because the mean of its divisors is an integer number (4360720).

Almost surely, 2^90567540 is an apocalyptic number.

90567540 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90567540 is an abundant number, since it is smaller than the sum of its proper divisors (223404300).

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

90567540 is a wasteful number, since it uses less digits than its factorization.

90567540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71901 (or 71896 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 90567540 is about 9516.6979567495. The cubic root of 90567540 is about 449.0804927756.

The spelling of 90567540 in words is "ninety million, five hundred sixty-seven thousand, five hundred forty".