68972640 has 96 divisors (see below), whose sum is σ = 237033216. Its totient is φ = 16719360.

The previous prime is 68972623. The next prime is 68972677. The reversal of 68972640 is 4627986.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 68972592 and 68972601.

It is a congruent number.

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, 1252 + ... + 11811.

It is an arithmetic number, because the mean of its divisors is an integer number (2469096).

Almost surely, 2^68972640 is an apocalyptic number.

68972640 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 68972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118516608).

68972640 is an abundant number, since it is smaller than the sum of its proper divisors (168060576).

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

68972640 is a wasteful number, since it uses less digits than its factorization.

68972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13092 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 68972640 is about 8304.9768211597. The cubic root of 68972640 is about 410.1023738014.

The spelling of 68972640 in words is "sixty-eight million, nine hundred seventy-two thousand, six hundred forty".