68292840 has 256 divisors, whose sum is σ = 269568000. Its totient is φ = 13409280.

The previous prime is 68292827. The next prime is 68292863. The reversal of 68292840 is 4829286.

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, 175366 + ... + 175754.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^68292840 is an apocalyptic number.

68292840 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 68292840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

68292840 is an abundant number, since it is smaller than the sum of its proper divisors (201275160).

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

68292840 is a wasteful number, since it uses less digits than its factorization.

68292840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68292840 is about 8263.9482089374. The cubic root of 68292840 is about 408.7505887075.

It can be divided in two parts, 6829 and 2840, that added together give a palindrome (9669).

The spelling of 68292840 in words is "sixty-eight million, two hundred ninety-two thousand, eight hundred forty".