85401756 has 48 divisors (see below), whose sum is σ = 241543680. Its totient is φ = 25878960.

The previous prime is 85401749. The next prime is 85401791. The reversal of 85401756 is 65710458.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85401756.

It is a congruent number.

It is an unprimeable number.

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, 34756 + ... + 37131.

It is an arithmetic number, because the mean of its divisors is an integer number (5032160).

Almost surely, 2^85401756 is an apocalyptic number.

It is an amenable number.

85401756 is an abundant number, since it is smaller than the sum of its proper divisors (156141924).

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

85401756 is a wasteful number, since it uses less digits than its factorization.

85401756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71911 (or 71903 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 85401756 is about 9241.3070504123. The cubic root of 85401756 is about 440.3746052222.

It can be divided in two parts, 8540 and 1756, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 85401756 in words is "eighty-five million, four hundred one thousand, seven hundred fifty-six".