68957000 has 64 divisors (see below), whose sum is σ = 184429440. Its totient is φ = 23640000.

The previous prime is 68956969. The next prime is 68957033. The reversal of 68957000 is 75986.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2075 + ... + 11925.

It is an arithmetic number, because the mean of its divisors is an integer number (2881710).

Almost surely, 2^68957000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92214720).

68957000 is an abundant number, since it is smaller than the sum of its proper divisors (115472440).

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

68957000 is a wasteful number, since it uses less digits than its factorization.

68957000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9879 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 68957000 is about 8304.0351637020. The cubic root of 68957000 is about 410.0713736541.

The spelling of 68957000 in words is "sixty-eight million, nine hundred fifty-seven thousand".