87128001 has 16 divisors (see below), whose sum is σ = 129384000. Its totient is φ = 57947904.

The previous prime is 87127987. The next prime is 87128003. The reversal of 87128001 is 10082178.

It is not a de Polignac number, because 87128001 - 2¹⁴ = 87111617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87128003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8530 + ... + 15716.

It is an arithmetic number, because the mean of its divisors is an integer number (8086500).

Almost surely, 2^87128001 is an apocalyptic number.

It is an amenable number.

87128001 is a deficient number, since it is larger than the sum of its proper divisors (42255999).

87128001 is a wasteful number, since it uses less digits than its factorization.

87128001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7645 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 87128001 is about 9334.2381049553. The cubic root of 87128001 is about 443.3219654625.

The spelling of 87128001 in words is "eighty-seven million, one hundred twenty-eight thousand, one".