87401268 has 96 divisors (see below), whose sum is σ = 234008320. Its totient is φ = 28553472.

The previous prime is 87401261. The next prime is 87401269. The reversal of 87401268 is 86210478.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87401261) 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 31 ways as a sum of consecutive naturals, for example, 848505 + ... + 848607.

Almost surely, 2^87401268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87401268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117004160).

87401268 is an abundant number, since it is smaller than the sum of its proper divisors (146607052).

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

87401268 is a wasteful number, since it uses less digits than its factorization.

87401268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87401268 is about 9348.8645299844. The cubic root of 87401268 is about 443.7849579548.

The spelling of 87401268 in words is "eighty-seven million, four hundred one thousand, two hundred sixty-eight".