85764401 has 8 divisors (see below), whose sum is σ = 90288000. Its totient is φ = 81307072.

The previous prime is 85764389. The next prime is 85764407. The reversal of 85764401 is 10446758.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85764401 - 2²⁶ = 18655537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85764407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13901 + ... + 19098.

It is an arithmetic number, because the mean of its divisors is an integer number (11286000).

Almost surely, 2^85764401 is an apocalyptic number.

It is an amenable number.

85764401 is a deficient number, since it is larger than the sum of its proper divisors (4523599).

85764401 is a wasteful number, since it uses less digits than its factorization.

85764401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33135.

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 85764401 is about 9260.9071369926. The cubic root of 85764401 is about 440.9970519631.

The spelling of 85764401 in words is "eighty-five million, seven hundred sixty-four thousand, four hundred one".