85562400 has 288 divisors, whose sum is σ = 347977728. Its totient is φ = 17740800.

The previous prime is 85562371. The next prime is 85562431. The reversal of 85562400 is 426558.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184569 + ... + 185031.

It is an arithmetic number, because the mean of its divisors is an integer number (1208256).

Almost surely, 2^85562400 is an apocalyptic number.

85562400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173988864).

85562400 is an abundant number, since it is smaller than the sum of its proper divisors (262415328).

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

85562400 is a wasteful number, since it uses less digits than its factorization.

85562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 85562400 is about 9249.9945945930. The cubic root of 85562400 is about 440.6505528162.

Adding to 85562400 its reverse (426558), we get a palindrome (85988958).

The spelling of 85562400 in words is "eighty-five million, five hundred sixty-two thousand, four hundred".