68820500 has 108 divisors (see below), whose sum is σ = 178204572. Its totient is φ = 23150400.

The previous prime is 68820487. The next prime is 68820517. The reversal of 68820500 is 502886.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 9314704 + 59505796 = 3052^2 + 7714^2 .

It is a super-2 number, since 2×68820500² = 9472522440500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1298474 + ... + 1298526.

Almost surely, 2^68820500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68820500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89102286).

68820500 is an abundant number, since it is smaller than the sum of its proper divisors (109384072).

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

68820500 is a wasteful number, since it uses less digits than its factorization.

68820500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 68820500 is about 8295.8121965242. The cubic root of 68820500 is about 409.8006169165.

The spelling of 68820500 in words is "sixty-eight million, eight hundred twenty thousand, five hundred".