81742600 has 24 divisors (see below), whose sum is σ = 190052010. Its totient is φ = 32696960.

The previous prime is 81742597. The next prime is 81742603. The reversal of 81742600 is 624718.

It is an interprime number because it is at equal distance from previous prime (81742597) and next prime (81742603).

It can be written as a sum of positive squares in 3 ways, for example, as 36072036 + 45670564 = 6006^2 + 6758^2 .

It is not an unprimeable number, because it can be changed into a prime (81742603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204157 + ... + 204556.

Almost surely, 2^81742600 is an apocalyptic number.

It is an amenable number.

81742600 is an abundant number, since it is smaller than the sum of its proper divisors (108309410).

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

81742600 is a wasteful number, since it uses less digits than its factorization.

81742600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408729 (or 408720 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 81742600 is about 9041.1614298164. The cubic root of 81742600 is about 433.9930909870.

The spelling of 81742600 in words is "eighty-one million, seven hundred forty-two thousand, six hundred".