68288040 has 192 divisors, whose sum is σ = 238118400. Its totient is φ = 16934400.

The previous prime is 68288023. The next prime is 68288053. The reversal of 68288040 is 4088286.

It is a super-3 number, since 3×68288040³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 68287986 and 68288004.

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, 323535 + ... + 323745.

It is an arithmetic number, because the mean of its divisors is an integer number (1240200).

Almost surely, 2^68288040 is an apocalyptic number.

68288040 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 68288040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119059200).

68288040 is an abundant number, since it is smaller than the sum of its proper divisors (169830360).

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

68288040 is a wasteful number, since it uses less digits than its factorization.

68288040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 68288040 is about 8263.6577857508. The cubic root of 68288040 is about 408.7410120628.

The spelling of 68288040 in words is "sixty-eight million, two hundred eighty-eight thousand, forty".