87476004 has 192 divisors, whose sum is σ = 288798720. Its totient is φ = 22239360.

The previous prime is 87475991. The next prime is 87476009. The reversal of 87476004 is 40067478.

It is a happy number.

87476004 is a `hidden beast` number, since 8 + 7 + 47 + 600 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87476004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87476009) 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 63 ways as a sum of consecutive naturals, for example, 557094 + ... + 557250.

It is an arithmetic number, because the mean of its divisors is an integer number (1504160).

Almost surely, 2^87476004 is an apocalyptic number.

87476004 is a gapful number since it is divisible by the number (84) 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 87476004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144399360).

87476004 is an abundant number, since it is smaller than the sum of its proper divisors (201322716).

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

87476004 is a wasteful number, since it uses less digits than its factorization.

87476004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87476004 is about 9352.8607388328. The cubic root of 87476004 is about 443.9114140287.

The spelling of 87476004 in words is "eighty-seven million, four hundred seventy-six thousand, four".