87395040 has 144 divisors (see below), whose sum is σ = 301090608. Its totient is φ = 23083008.

The previous prime is 87395027. The next prime is 87395047. The reversal of 87395040 is 4059378.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 87394986 and 87395004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87395047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197059 + ... + 197501.

It is an arithmetic number, because the mean of its divisors is an integer number (2090907).

Almost surely, 2^87395040 is an apocalyptic number.

87395040 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 87395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150545304).

87395040 is an abundant number, since it is smaller than the sum of its proper divisors (213695568).

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

87395040 is a wasteful number, since it uses less digits than its factorization.

87395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 87395040 is about 9348.5314354716. The cubic root of 87395040 is about 443.7744166952.

The spelling of 87395040 in words is "eighty-seven million, three hundred ninety-five thousand, forty".