87851904 has 256 divisors, whose sum is σ = 293760000. Its totient is φ = 23181312.

The previous prime is 87851879. The next prime is 87851909. The reversal of 87851904 is 40915878.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87851909) 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, 3029362 + ... + 3029390.

It is an arithmetic number, because the mean of its divisors is an integer number (1147500).

Almost surely, 2^87851904 is an apocalyptic number.

87851904 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 87851904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

87851904 is an abundant number, since it is smaller than the sum of its proper divisors (205908096).

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

87851904 is a wasteful number, since it uses less digits than its factorization.

87851904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 87851904 is about 9372.9346524981. The cubic root of 87851904 is about 444.5463609238.

The spelling of 87851904 in words is "eighty-seven million, eight hundred fifty-one thousand, nine hundred four".