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90876240 = 243257131973

90876240 has 480 divisors, whose sum is σ = 400807680. Its totient is φ = 17915904.

The previous prime is 90876229. The next prime is 90876281. The reversal of 90876240 is 4267809.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 90876195 and 90876204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244844 + ... + 1244916.

It is an arithmetic number, because the mean of its divisors is an integer number (835016).

Almost surely, 290876240 is an apocalyptic number.

90876240 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 90876240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200403840).

90876240 is an abundant number, since it is smaller than the sum of its proper divisors (309931440).

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

90876240 is a wasteful number, since it uses less digits than its factorization.

90876240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 90876240 is about 9532.9030205914. The cubic root of 90876240 is about 449.5901453411.

The spelling of 90876240 in words is "ninety million, eight hundred seventy-six thousand, two hundred forty".