85378104 has 64 divisors (see below), whose sum is σ = 271046400. Its totient is φ = 24393312.

The previous prime is 85378103. The next prime is 85378147. The reversal of 85378104 is 40187358.

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 (85378103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26722 + ... + 29745.

It is an arithmetic number, because the mean of its divisors is an integer number (4235100).

Almost surely, 2^85378104 is an apocalyptic number.

85378104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85378104 is an abundant number, since it is smaller than the sum of its proper divisors (185668296).

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

85378104 is a wasteful number, since it uses less digits than its factorization.

85378104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56489 (or 56479 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85378104 is about 9240.0272726870. The cubic root of 85378104 is about 440.3339475810. Note that the first 3 decimals are identical.

It can be divided in two parts, 8537 and 8104, that added together give a square (16641 = 129²).

The spelling of 85378104 in words is "eighty-five million, three hundred seventy-eight thousand, one hundred four".