68904000 has 448 divisors, whose sum is σ = 285292800. Its totient is φ = 16128000.

The previous prime is 68903987. The next prime is 68904019. The reversal of 68904000 is 40986.

68904000 = T₄₁ + T₄₂ + ... + T₇₄₄.

It is a super-2 number, since 2×68904000² = 9495522432000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2375986 + ... + 2376014.

Almost surely, 2^68904000 is an apocalyptic number.

68904000 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 68904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400).

68904000 is an abundant number, since it is smaller than the sum of its proper divisors (216388800).

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

68904000 is a wasteful number, since it uses less digits than its factorization.

68904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 68904000 is about 8300.8433306502. The cubic root of 68904000 is about 409.9662871348.

Adding to 68904000 its reverse (40986), we get a palindrome (68944986).

The spelling of 68904000 in words is "sixty-eight million, nine hundred four thousand".