68638752 has 288 divisors, whose sum is σ = 251701632. Its totient is φ = 17915904.

The previous prime is 68638747. The next prime is 68638777. The reversal of 68638752 is 25783686.

68638752 is a `hidden beast` number, since 6 + 8 + 638 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×68638752² = 9422556552235008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68638698 and 68638707.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707568 + ... + 707664.

It is an arithmetic number, because the mean of its divisors is an integer number (873964).

Almost surely, 2^68638752 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 68638752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125850816).

68638752 is an abundant number, since it is smaller than the sum of its proper divisors (183062880).

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

68638752 is a wasteful number, since it uses less digits than its factorization.

68638752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 68638752 is about 8284.8507530311. The cubic root of 68638752 is about 409.4395515169.

The spelling of 68638752 in words is "sixty-eight million, six hundred thirty-eight thousand, seven hundred fifty-two".