87373440 has 384 divisors, whose sum is σ = 378069120. Its totient is φ = 18063360.

The previous prime is 87373417. The next prime is 87373441. The reversal of 87373440 is 4437378.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 87373395 and 87373404.

It is not an unprimeable number, because it can be changed into a prime (87373441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 443422 + ... + 443618.

It is an arithmetic number, because the mean of its divisors is an integer number (984555).

Almost surely, 2^87373440 is an apocalyptic number.

87373440 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 87373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189034560).

87373440 is an abundant number, since it is smaller than the sum of its proper divisors (290695680).

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

87373440 is a wasteful number, since it uses less digits than its factorization.

87373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 87373440 is about 9347.3761024151. The cubic root of 87373440 is about 443.7378535325.

The spelling of 87373440 in words is "eighty-seven million, three hundred seventy-three thousand, four hundred forty".