86493600 has 216 divisors, whose sum is σ = 313503372. Its totient is φ = 22425600.

The previous prime is 86493577. The next prime is 86493601. The reversal of 86493600 is 639468.

86493600 is a `hidden beast` number, since 8 + 6 + 49 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 30603024 + 55890576 = 5532^2 + 7476^2 .

It is a super-2 number, since 2×86493600² = 14962285681920000, 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 (86493601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295054 + ... + 295346.

Almost surely, 2^86493600 is an apocalyptic number.

86493600 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 86493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156751686).

86493600 is an abundant number, since it is smaller than the sum of its proper divisors (227009772).

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

86493600 is a wasteful number, since it uses less digits than its factorization.

86493600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 86493600 is about 9300.1935463731. The cubic root of 86493600 is about 442.2433635882.

It can be divided in two parts, 8649 and 3600, that multiplied together give a square (31136400 = 5580²).

The spelling of 86493600 in words is "eighty-six million, four hundred ninety-three thousand, six hundred".