69876480 has 144 divisors (see below), whose sum is σ = 230759424. Its totient is φ = 18001920.

The previous prime is 69876479. The next prime is 69876487. The reversal of 69876480 is 8467896.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (69876487) 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, 118747 + ... + 119333.

It is an arithmetic number, because the mean of its divisors is an integer number (1602496).

Almost surely, 2^69876480 is an apocalyptic number.

69876480 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 69876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115379712).

69876480 is an abundant number, since it is smaller than the sum of its proper divisors (160882944).

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

69876480 is a wasteful number, since it uses less digits than its factorization.

69876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 69876480 is about 8359.2152741750. The cubic root of 69876480 is about 411.8859771813.

The spelling of 69876480 in words is "sixty-nine million, eight hundred seventy-six thousand, four hundred eighty".