68013540 has 192 divisors, whose sum is σ = 254822400. Its totient is φ = 14712192.

The previous prime is 68013503. The next prime is 68013551. The reversal of 68013540 is 4531086.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71347 + ... + 72293.

It is an arithmetic number, because the mean of its divisors is an integer number (1327200).

Almost surely, 2^68013540 is an apocalyptic number.

68013540 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 68013540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127411200).

68013540 is an abundant number, since it is smaller than the sum of its proper divisors (186808860).

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

68013540 is a wasteful number, since it uses less digits than its factorization.

68013540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68013540 is about 8247.0321934621. The cubic root of 68013540 is about 408.1925993792.

The spelling of 68013540 in words is "sixty-eight million, thirteen thousand, five hundred forty".