90378540 has 108 divisors (see below), whose sum is σ = 318938256. Its totient is φ = 20655936.

The previous prime is 90378517. The next prime is 90378551. The reversal of 90378540 is 4587309.

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 = 90378495 and 90378504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3697 + ... + 13943.

It is an arithmetic number, because the mean of its divisors is an integer number (2953132).

Almost surely, 2^90378540 is an apocalyptic number.

90378540 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 90378540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159469128).

90378540 is an abundant number, since it is smaller than the sum of its proper divisors (228559716).

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

90378540 is a wasteful number, since it uses less digits than its factorization.

90378540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10276 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 90378540 is about 9506.7628559884. The cubic root of 90378540 is about 448.7678887870.

The spelling of 90378540 in words is "ninety million, three hundred seventy-eight thousand, five hundred forty".