87256401 has 16 divisors (see below), whose sum is σ = 118169280. Its totient is φ = 57263360.

The previous prime is 87256399. The next prime is 87256409. The reversal of 87256401 is 10465278.

It is a cyclic number.

It is not a de Polignac number, because 87256401 - 2¹ = 87256399 is a prime.

It is a super-2 number, since 2×87256401² = 15227359030945602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87256409) 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, 74446 + ... + 75608.

It is an arithmetic number, because the mean of its divisors is an integer number (7385580).

Almost surely, 2^87256401 is an apocalyptic number.

It is an amenable number.

87256401 is a deficient number, since it is larger than the sum of its proper divisors (30912879).

87256401 is a wasteful number, since it uses less digits than its factorization.

87256401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 87256401 is about 9341.1134775250. The cubic root of 87256401 is about 443.5396321921.

The spelling of 87256401 in words is "eighty-seven million, two hundred fifty-six thousand, four hundred one".