68364900 has 108 divisors (see below), whose sum is σ = 220184692. Its totient is φ = 17729280.

The previous prime is 68364853. The next prime is 68364949. The reversal of 68364900 is 946386.

68364900 is a `hidden beast` number, since 6 + 8 + 3 + 649 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 599076 + 67765824 = 774^2 + 8232^2 .

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32274 + ... + 34326.

Almost surely, 2^68364900 is an apocalyptic number.

68364900 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 68364900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110092346).

68364900 is an abundant number, since it is smaller than the sum of its proper divisors (151819792).

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

68364900 is a wasteful number, since it uses less digits than its factorization.

68364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2100 counting only the distinct ones).

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

The square root of 68364900 is about 8268.3069609201. The cubic root of 68364900 is about 408.8943041820.

The spelling of 68364900 in words is "sixty-eight million, three hundred sixty-four thousand, nine hundred".