90567048 has 96 divisors (see below), whose sum is σ = 268128000. Its totient is φ = 25322880.

The previous prime is 90566989. The next prime is 90567107. The reversal of 90567048 is 84076509.

It is an interprime number because it is at equal distance from previous prime (90566989) and next prime (90567107).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 90566997 and 90567015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36553 + ... + 38951.

It is an arithmetic number, because the mean of its divisors is an integer number (2793000).

Almost surely, 2^90567048 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 90567048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064000).

90567048 is an abundant number, since it is smaller than the sum of its proper divisors (177560952).

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

90567048 is a wasteful number, since it uses less digits than its factorization.

90567048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 90567048 is about 9516.6721074123. The cubic root of 90567048 is about 449.0796795777.

90567048 divided by its sum of digits (39) gives a palindrome (2322232).

The spelling of 90567048 in words is "ninety million, five hundred sixty-seven thousand, forty-eight".