68913600 has 252 divisors, whose sum is σ = 263904984. Its totient is φ = 15697920.

The previous prime is 68913583. The next prime is 68913617. The reversal of 68913600 is 631986.

It is an interprime number because it is at equal distance from previous prime (68913583) and next prime (68913617).

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, 235054 + ... + 235346.

It is an arithmetic number, because the mean of its divisors is an integer number (1047242).

Almost surely, 2^68913600 is an apocalyptic number.

68913600 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 68913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131952492).

68913600 is an abundant number, since it is smaller than the sum of its proper divisors (194991384).

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

68913600 is a wasteful number, since it uses less digits than its factorization.

68913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 68913600 is about 8301.4215650092. The cubic root of 68913600 is about 409.9853256695.

The spelling of 68913600 in words is "sixty-eight million, nine hundred thirteen thousand, six hundred".