90867840 has 128 divisors (see below), whose sum is σ = 331067520. Its totient is φ = 20766720.

The previous prime is 90867827. The next prime is 90867841. The reversal of 90867840 is 4876809.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 90867792 and 90867801.

It is not an unprimeable number, because it can be changed into a prime (90867841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10060 + ... + 16820.

It is an arithmetic number, because the mean of its divisors is an integer number (2586465).

Almost surely, 2^90867840 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 90867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165533760).

90867840 is an abundant number, since it is smaller than the sum of its proper divisors (240199680).

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

90867840 is a wasteful number, since it uses less digits than its factorization.

90867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 90867840 is about 9532.4624310825. The cubic root of 90867840 is about 449.5762925321.

The spelling of 90867840 in words is "ninety million, eight hundred sixty-seven thousand, eight hundred forty".