87958440 has 128 divisors (see below), whose sum is σ = 306028800. Its totient is φ = 22429440.

The previous prime is 87958411. The next prime is 87958441. The reversal of 87958440 is 4485978.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87958441) 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 31 ways as a sum of consecutive naturals, for example, 23070 + ... + 26610.

It is an arithmetic number, because the mean of its divisors is an integer number (2390850).

Almost surely, 2^87958440 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 87958440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153014400).

87958440 is an abundant number, since it is smaller than the sum of its proper divisors (218070360).

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

87958440 is a wasteful number, since it uses less digits than its factorization.

87958440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 87958440 is about 9378.6161026028. The cubic root of 87958440 is about 444.7259854117.

It can be divided in two parts, 879 and 58440, that added together give a cube (59319 = 39³).

The spelling of 87958440 in words is "eighty-seven million, nine hundred fifty-eight thousand, four hundred forty".