69540120 has 240 divisors, whose sum is σ = 255087360. Its totient is φ = 16982784.

The previous prime is 69540101. The next prime is 69540127. The reversal of 69540120 is 2104596.

It is a super-2 number, since 2×69540120² = 9671656579228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69540127) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 547497 + ... + 547623.

It is an arithmetic number, because the mean of its divisors is an integer number (1062864).

Almost surely, 2^69540120 is an apocalyptic number.

69540120 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 69540120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127543680).

69540120 is an abundant number, since it is smaller than the sum of its proper divisors (185547240).

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

69540120 is a wasteful number, since it uses less digits than its factorization.

69540120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 69540120 is about 8339.0718908042. The cubic root of 69540120 is about 411.2240240674.

The spelling of 69540120 in words is "sixty-nine million, five hundred forty thousand, one hundred twenty".