68992800 has 288 divisors, whose sum is σ = 253108800. Its totient is φ = 16220160.

The previous prime is 68992787. The next prime is 68992813. The reversal of 68992800 is 829986.

It is an interprime number because it is at equal distance from previous prime (68992787) and next prime (68992813).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775156 + ... + 775244.

It is an arithmetic number, because the mean of its divisors is an integer number (878850).

Almost surely, 2^68992800 is an apocalyptic number.

68992800 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 68992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126554400).

68992800 is an abundant number, since it is smaller than the sum of its proper divisors (184116000).

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

68992800 is a wasteful number, since it uses less digits than its factorization.

68992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 68992800 is about 8306.1904625406. The cubic root of 68992800 is about 410.1423261577.

The spelling of 68992800 in words is "sixty-eight million, nine hundred ninety-two thousand, eight hundred".