87259040 has 96 divisors (see below), whose sum is σ = 230319936. Its totient is φ = 30965760.

The previous prime is 87259037. The next prime is 87259043. The reversal of 87259040 is 4095278.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87259037) and next prime (87259043).

It is a super-2 number, since 2×87259040² = 15228280123443200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87259043) 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, 75104 + ... + 76256.

It is an arithmetic number, because the mean of its divisors is an integer number (2399166).

Almost surely, 2^87259040 is an apocalyptic number.

87259040 is a gapful number since it is divisible by the number (80) 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 87259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115159968).

87259040 is an abundant number, since it is smaller than the sum of its proper divisors (143060896).

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

87259040 is a wasteful number, since it uses less digits than its factorization.

87259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 87259040 is about 9341.2547337068. The cubic root of 87259040 is about 443.5441036474.

The spelling of 87259040 in words is "eighty-seven million, two hundred fifty-nine thousand, forty".