68764032 has 128 divisors (see below), whose sum is σ = 205999200. Its totient is φ = 22579200.

The previous prime is 68764027. The next prime is 68764037. The reversal of 68764032 is 23046786.

68764032 is a `hidden beast` number, since 6 + 8 + 7 + 640 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (68764027) and next prime (68764037).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68764037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348958 + ... + 349154.

Almost surely, 2^68764032 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 68764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102999600).

68764032 is an abundant number, since it is smaller than the sum of its proper divisors (137235168).

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

68764032 is a wasteful number, since it uses less digits than its factorization.

68764032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 68764032 is about 8292.4080941546. The cubic root of 68764032 is about 409.6885042312.

The spelling of 68764032 in words is "sixty-eight million, seven hundred sixty-four thousand, thirty-two".