87579040 has 24 divisors (see below), whose sum is σ = 206905860. Its totient is φ = 35031552.

The previous prime is 87579029. The next prime is 87579059. The reversal of 87579040 is 4097578.

It can be written as a sum of positive squares in 2 ways, for example, as 75272976 + 12306064 = 8676^2 + 3508^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 87578984 and 87579002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 273525 + ... + 273844.

Almost surely, 2^87579040 is an apocalyptic number.

87579040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87579040 is an abundant number, since it is smaller than the sum of its proper divisors (119326820).

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

87579040 is a wasteful number, since it uses less digits than its factorization.

87579040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547384 (or 547376 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 87579040 is about 9358.3673789823. The cubic root of 87579040 is about 444.0856367025.

The spelling of 87579040 in words is "eighty-seven million, five hundred seventy-nine thousand, forty".