87069840 has 320 divisors, whose sum is σ = 329978880. Its totient is φ = 18708480.

The previous prime is 87069839. The next prime is 87069841. The reversal of 87069840 is 4896078.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87069839) and next prime (87069841).

It is a junction number, because it is equal to n+sod(n) for n = 87069792 and 87069801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87069841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1475731 + ... + 1475789.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^87069840 is an apocalyptic number.

87069840 is a gapful number since it is divisible by the number (80) 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 87069840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

87069840 is an abundant number, since it is smaller than the sum of its proper divisors (242909040).

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

87069840 is a wasteful number, since it uses less digits than its factorization.

87069840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 87069840 is about 9331.1221190166. The cubic root of 87069840 is about 443.2232991787.

The spelling of 87069840 in words is "eighty-seven million, sixty-nine thousand, eight hundred forty".