90887040 has 192 divisors, whose sum is σ = 324604800. Its totient is φ = 23408640.

The previous prime is 90887039. The next prime is 90887077. The reversal of 90887040 is 4078809.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 90886986 and 90887004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178306 + ... + 178814.

It is an arithmetic number, because the mean of its divisors is an integer number (1690650).

Almost surely, 2^90887040 is an apocalyptic number.

90887040 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 90887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162302400).

90887040 is an abundant number, since it is smaller than the sum of its proper divisors (233717760).

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

90887040 is a wasteful number, since it uses less digits than its factorization.

90887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 90887040 is about 9533.4694628975. The cubic root of 90887040 is about 449.6079548412.

The spelling of 90887040 in words is "ninety million, eight hundred eighty-seven thousand, forty".