87935904 has 144 divisors (see below), whose sum is σ = 291537792. Its totient is φ = 24620544.

The previous prime is 87935899. The next prime is 87935909. The reversal of 87935904 is 40953978.

It is an interprime number because it is at equal distance from previous prime (87935899) and next prime (87935909).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 87935904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87935909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106437 + ... + 107259.

It is an arithmetic number, because the mean of its divisors is an integer number (2024568).

Almost surely, 2^87935904 is an apocalyptic number.

87935904 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 87935904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145768896).

87935904 is an abundant number, since it is smaller than the sum of its proper divisors (203601888).

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

87935904 is a wasteful number, since it uses less digits than its factorization.

87935904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 87935904 is about 9377.4145690590. The cubic root of 87935904 is about 444.6880008026.

The spelling of 87935904 in words is "eighty-seven million, nine hundred thirty-five thousand, nine hundred four".