85401648 has 40 divisors (see below), whose sum is σ = 245135600. Its totient is φ = 28467072.

The previous prime is 85401611. The next prime is 85401649. The reversal of 85401648 is 84610458.

85401648 is a `hidden beast` number, since 8 + 5 + 4 + 0 + 1 + 648 = 666.

It is a super-2 number, since 2×85401648² = 14586882962231808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (85401649) 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, 98413 + ... + 99276.

It is an arithmetic number, because the mean of its divisors is an integer number (6128390).

Almost surely, 2^85401648 is an apocalyptic number.

It is an amenable number.

85401648 is an abundant number, since it is smaller than the sum of its proper divisors (159733952).

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

85401648 is a wasteful number, since it uses less digits than its factorization.

85401648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197706 (or 197694 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85401648 is about 9241.3012070812. The cubic root of 85401648 is about 440.3744195879.

The spelling of 85401648 in words is "eighty-five million, four hundred one thousand, six hundred forty-eight".