69488640 has 312 divisors, whose sum is σ = 268337160. Its totient is φ = 16515072.

The previous prime is 69488633. The next prime is 69488647. The reversal of 69488640 is 4688496.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (69488633) and next prime (69488647).

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 68161536 = 1152^2 + 8256^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69488647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396146 + ... + 2396174.

It is an arithmetic number, because the mean of its divisors is an integer number (860055).

Almost surely, 2^69488640 is an apocalyptic number.

69488640 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 69488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134168580).

69488640 is an abundant number, since it is smaller than the sum of its proper divisors (198848520).

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

69488640 is a wasteful number, since it uses less digits than its factorization.

69488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 69488640 is about 8335.9846448995. The cubic root of 69488640 is about 411.1225237207.

The spelling of 69488640 in words is "sixty-nine million, four hundred eighty-eight thousand, six hundred forty".