69812064 has 288 divisors, whose sum is σ = 253380960. Its totient is φ = 18579456.

The previous prime is 69812059. The next prime is 69812089. The reversal of 69812064 is 46021896.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 719664 + ... + 719760.

It is an arithmetic number, because the mean of its divisors is an integer number (879795).

Almost surely, 2^69812064 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 69812064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126690480).

69812064 is an abundant number, since it is smaller than the sum of its proper divisors (183568896).

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

69812064 is a wasteful number, since it uses less digits than its factorization.

69812064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 69812064 is about 8355.3613925431. The cubic root of 69812064 is about 411.7593718525.

It can be divided in two parts, 6981 and 2064, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 69812064 in words is "sixty-nine million, eight hundred twelve thousand, sixty-four".