68415600 has 240 divisors, whose sum is σ = 245769984. Its totient is φ = 16128000.

The previous prime is 68415583. The next prime is 68415601. The reversal of 68415600 is 651486.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68415601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 937164 + ... + 937236.

Almost surely, 2^68415600 is an apocalyptic number.

68415600 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 68415600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122884992).

68415600 is an abundant number, since it is smaller than the sum of its proper divisors (177354384).

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

68415600 is a wasteful number, since it uses less digits than its factorization.

68415600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 68415600 is about 8271.3723166111. The cubic root of 68415600 is about 408.9953590537.

The spelling of 68415600 in words is "sixty-eight million, four hundred fifteen thousand, six hundred".