68558400 has 315 divisors, whose sum is σ = 263436481. Its totient is φ = 17487360.

The previous prime is 68558389. The next prime is 68558411. The reversal of 68558400 is 485586.

It is a happy number.

The square root of 68558400 is 8280.

It is a perfect power (a square), and thus also a powerful number.

68558400 is a `hidden beast` number, since 68 + 558 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68558389) and next prime (68558411).

It can be written as a sum of positive squares in only one way, i.e., 24681024 + 43877376 = 4968^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2980789 + ... + 2980811.

Almost surely, 2^68558400 is an apocalyptic number.

68558400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68558400 is the 8280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68558400

68558400 is an abundant number, since it is smaller than the sum of its proper divisors (194878081).

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

68558400 is a wasteful number, since it uses less digits than its factorization.

68558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The cubic root of 68558400 is about 409.2797189048.

Multiplying 68558400 by its sum of digits (36), we get a square (2468102400 = 49680²).

68558400 divided by its sum of digits (36) gives a square (1904400 = 1380²).

The spelling of 68558400 in words is "sixty-eight million, five hundred fifty-eight thousand, four hundred".