87492440 has 80 divisors (see below), whose sum is σ = 229906080. Its totient is φ = 29964480.

The previous prime is 87492439. The next prime is 87492443. The reversal of 87492440 is 4429478.

87492440 = T₃₄₀₈ + T₃₄₀₉ + ... + T₃₄₂₂.

It is a junction number, because it is equal to n+sod(n) for n = 87492394 and 87492403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87492443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95585 + ... + 96495.

It is an arithmetic number, because the mean of its divisors is an integer number (2873826).

Almost surely, 2^87492440 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 87492440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114953040).

87492440 is an abundant number, since it is smaller than the sum of its proper divisors (142413640).

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

87492440 is an equidigital number, since it uses as much as digits as its factorization.

87492440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 87492440 is about 9353.7393592082. The cubic root of 87492440 is about 443.9392146854.

The spelling of 87492440 in words is "eighty-seven million, four hundred ninety-two thousand, four hundred forty".