87041040 has 80 divisors (see below), whose sum is σ = 273905088. Its totient is φ = 22860288.

The previous prime is 87041029. The next prime is 87041047. The reversal of 87041040 is 4014078.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×87041040² = 15152285288563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 87041040.

It is not an unprimeable number, because it can be changed into a prime (87041047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13374 + ... + 18786.

Almost surely, 2^87041040 is an apocalyptic number.

87041040 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 87041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136952544).

87041040 is an abundant number, since it is smaller than the sum of its proper divisors (186864048).

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

87041040 is a wasteful number, since it uses less digits than its factorization.

87041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 87041040 is about 9329.5787686262. The cubic root of 87041040 is about 443.1744256205.

The spelling of 87041040 in words is "eighty-seven million, forty-one thousand, forty".