69728640 has 128 divisors (see below), whose sum is σ = 232070400. Its totient is φ = 17774592.

The previous prime is 69728627. The next prime is 69728647. The reversal of 69728640 is 4682796.

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

It is a junction number, because it is equal to n+sod(n) for n = 69728592 and 69728601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69728647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43371 + ... + 44949.

It is an arithmetic number, because the mean of its divisors is an integer number (1813050).

Almost surely, 2^69728640 is an apocalyptic number.

69728640 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 69728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116035200).

69728640 is an abundant number, since it is smaller than the sum of its proper divisors (162341760).

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

69728640 is a wasteful number, since it uses less digits than its factorization.

69728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1612 counting only the distinct ones).

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

The square root of 69728640 is about 8350.3676565766. The cubic root of 69728640 is about 411.5952917794.

The spelling of 69728640 in words is "sixty-nine million, seven hundred twenty-eight thousand, six hundred forty".