90476640 has 144 divisors (see below), whose sum is σ = 312884208. Its totient is φ = 23804928.

The previous prime is 90476621. The next prime is 90476647. The reversal of 90476640 is 4667409.

90476640 is a `hidden beast` number, since 9 + 0 + 4 + 7 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 90476595 and 90476604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90476647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119142 + ... + 119898.

It is an arithmetic number, because the mean of its divisors is an integer number (2172807).

Almost surely, 2^90476640 is an apocalyptic number.

90476640 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 90476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156442104).

90476640 is an abundant number, since it is smaller than the sum of its proper divisors (222407568).

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

90476640 is a wasteful number, since it uses less digits than its factorization.

90476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 90476640 is about 9511.9209416395. The cubic root of 90476640 is about 448.9301994825.

The spelling of 90476640 in words is "ninety million, four hundred seventy-six thousand, six hundred forty".