68616900 has 216 divisors, whose sum is σ = 243734400. Its totient is φ = 15993600.

The previous prime is 68616881. The next prime is 68616959. The reversal of 68616900 is 961686.

It is a super-2 number, since 2×68616900² = 9416557931220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286981 + ... + 287219.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^68616900 is an apocalyptic number.

68616900 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 68616900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

68616900 is an abundant number, since it is smaller than the sum of its proper divisors (175117500).

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

68616900 is a wasteful number, since it uses less digits than its factorization.

68616900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 68616900 is about 8283.5318554346. The cubic root of 68616900 is about 409.3960968480.

The spelling of 68616900 in words is "sixty-eight million, six hundred sixteen thousand, nine hundred".