68600400 has 120 divisors (see below), whose sum is σ = 239773344. Its totient is φ = 16627200.

The previous prime is 68600381. The next prime is 68600419. The reversal of 68600400 is 400686.

It is an interprime number because it is at equal distance from previous prime (68600381) and next prime (68600419).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10602 + ... + 15798.

Almost surely, 2^68600400 is an apocalyptic number.

68600400 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 68600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119886672).

68600400 is an abundant number, since it is smaller than the sum of its proper divisors (171172944).

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

68600400 is a wasteful number, since it uses less digits than its factorization.

68600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 68600400 is about 8282.5358435687. The cubic root of 68600400 is about 409.3632789993.

The spelling of 68600400 in words is "sixty-eight million, six hundred thousand, four hundred".