68498100 has 324 divisors, whose sum is σ = 256632012. Its totient is φ = 15206400.

The previous prime is 68498081. The next prime is 68498113. The reversal of 68498100 is 189486.

It is a happy number.

68498100 is a `hidden beast` number, since 68 + 498 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3663396 + 64834704 = 1914^2 + 8052^2 .

It is a super-2 number, since 2×68498100² = 9383979407220000, which contains 22 as substring.

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

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 107 ways as a sum of consecutive naturals, for example, 1851282 + ... + 1851318.

Almost surely, 2^68498100 is an apocalyptic number.

68498100 is a gapful number since it is divisible by the number (60) 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 68498100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128316006).

68498100 is an abundant number, since it is smaller than the sum of its proper divisors (188133912).

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

68498100 is a wasteful number, since it uses less digits than its factorization.

68498100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 68498100 is about 8276.3578946297. The cubic root of 68498100 is about 409.1596907918.

The spelling of 68498100 in words is "sixty-eight million, four hundred ninety-eight thousand, one hundred".