90548640 has 288 divisors, whose sum is σ = 380854656. Its totient is φ = 19077120.

The previous prime is 90548629. The next prime is 90548659. The reversal of 90548640 is 4684509.

90548640 is a `hidden beast` number, since 9 + 0 + 5 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 90548595 and 90548604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130695 + ... + 131385.

It is an arithmetic number, because the mean of its divisors is an integer number (1322412).

Almost surely, 2^90548640 is an apocalyptic number.

90548640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190427328).

90548640 is an abundant number, since it is smaller than the sum of its proper divisors (290306016).

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

90548640 is a wasteful number, since it uses less digits than its factorization.

90548640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90548640 is about 9515.7049134575. The cubic root of 90548640 is about 449.0492519587.

The spelling of 90548640 in words is "ninety million, five hundred forty-eight thousand, six hundred forty".