68586420 has 96 divisors (see below), whose sum is σ = 222582528. Its totient is φ = 15455232.

The previous prime is 68586407. The next prime is 68586443. The reversal of 68586420 is 2468586.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29542 + ... + 31778.

It is an arithmetic number, because the mean of its divisors is an integer number (2318568).

Almost surely, 2^68586420 is an apocalyptic number.

68586420 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 68586420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111291264).

68586420 is an abundant number, since it is smaller than the sum of its proper divisors (153996108).

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

68586420 is a wasteful number, since it uses less digits than its factorization.

68586420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 68586420 is about 8281.6918561366. The cubic root of 68586420 is about 409.3354692128.

It can be divided in two parts, 68586 and 420, that added together give a triangular number (69006 = T₃₇₁).

The spelling of 68586420 in words is "sixty-eight million, five hundred eighty-six thousand, four hundred twenty".