69825840 has 160 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 15747072.

The previous prime is 69825839. The next prime is 69825853. The reversal of 69825840 is 4852896.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 69825792 and 69825801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149287 + ... + 149753.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 2^69825840 is an apocalyptic number.

69825840 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 69825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

69825840 is an abundant number, since it is smaller than the sum of its proper divisors (180872400).

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

69825840 is a wasteful number, since it uses less digits than its factorization.

69825840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 69825840 is about 8356.1857327372. The cubic root of 69825840 is about 411.7864542014.

The spelling of 69825840 in words is "sixty-nine million, eight hundred twenty-five thousand, eight hundred forty".