68742000 has 320 divisors, whose sum is σ = 263078400. Its totient is φ = 17107200.

The previous prime is 68741969. The next prime is 68742029. The reversal of 68742000 is 24786.

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

It is a congruent number.

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, 1025967 + ... + 1026033.

It is an arithmetic number, because the mean of its divisors is an integer number (822120).

Almost surely, 2^68742000 is an apocalyptic number.

68742000 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 68742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131539200).

68742000 is an abundant number, since it is smaller than the sum of its proper divisors (194336400).

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

68742000 is a wasteful number, since it uses less digits than its factorization.

68742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 68742000 is about 8291.0795437024. The cubic root of 68742000 is about 409.6447448169.

Adding to 68742000 its reverse (24786), we get a palindrome (68766786).

The spelling of 68742000 in words is "sixty-eight million, seven hundred forty-two thousand".