1068624000 has 384 divisors, whose sum is σ = 3953018160. Its totient is φ = 276480000.

The previous prime is 1068623981. The next prime is 1068624013. The reversal of 1068624000 is 4268601.

1068624000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 195776064 + 872847936 = 13992^2 + 29544^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1068624000² = 2283914506752000000, which contains 22 as substring.

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, 5903910 + ... + 5904090.

Almost surely, 2^1068624000 is an apocalyptic number.

1068624000 is a gapful number since it is divisible by the number (10) 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 1068624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976509080).

1068624000 is an abundant number, since it is smaller than the sum of its proper divisors (2884394160).

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

1068624000 is a wasteful number, since it uses less digits than its factorization.

1068624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1068624000 is about 32689.8149275887. The cubic root of 1068624000 is about 1022.3704958901.

The spelling of 1068624000 in words is "one billion, sixty-eight million, six hundred twenty-four thousand".