68001024 has 216 divisors, whose sum is σ = 228355680. Its totient is φ = 17805312.

The previous prime is 68001013. The next prime is 68001029. The reversal of 68001024 is 42010086.

It is a super-3 number, since 3×68001024³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68001029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489147 + ... + 489285.

Almost surely, 2^68001024 is an apocalyptic number.

68001024 is a gapful number since it is divisible by the number (64) 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 68001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114177840).

68001024 is an abundant number, since it is smaller than the sum of its proper divisors (160354656).

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

68001024 is a wasteful number, since it uses less digits than its factorization.

68001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 68001024 is about 8246.2733401216. The cubic root of 68001024 is about 408.1675590122.

The spelling of 68001024 in words is "sixty-eight million, one thousand, twenty-four".