87724000 has 192 divisors, whose sum is σ = 266378112. Its totient is φ = 27648000.

The previous prime is 87723959. The next prime is 87724009. The reversal of 87724000 is 42778.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 87724000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87724009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363880 + ... + 364120.

It is an arithmetic number, because the mean of its divisors is an integer number (1387386).

Almost surely, 2^87724000 is an apocalyptic number.

87724000 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 87724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189056).

87724000 is an abundant number, since it is smaller than the sum of its proper divisors (178654112).

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

87724000 is a wasteful number, since it uses less digits than its factorization.

87724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 87724000 is about 9366.1091174511. The cubic root of 87724000 is about 444.3305170950.

Adding to 87724000 its reverse (42778), we get a palindrome (87766778).

The spelling of 87724000 in words is "eighty-seven million, seven hundred twenty-four thousand".