85354400 has 36 divisors (see below), whose sum is σ = 208373382. Its totient is φ = 34141440.

The previous prime is 85354391. The next prime is 85354429. The reversal of 85354400 is 445358.

It can be written as a sum of positive squares in 3 ways, for example, as 63936016 + 21418384 = 7996^2 + 4628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52547 + ... + 54146.

Almost surely, 2^85354400 is an apocalyptic number.

85354400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85354400 is an abundant number, since it is smaller than the sum of its proper divisors (123018982).

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

85354400 is a wasteful number, since it uses less digits than its factorization.

85354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106713 (or 106700 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 85354400 is about 9238.7445034485. The cubic root of 85354400 is about 440.2931930178.

Adding to 85354400 its reverse (445358), we get a palindrome (85799758).

The spelling of 85354400 in words is "eighty-five million, three hundred fifty-four thousand, four hundred".