70009920 has 280 divisors, whose sum is σ = 259272024. Its totient is φ = 17915904.

The previous prime is 70009913. The next prime is 70009939. The reversal of 70009920 is 2990007.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 48776256 = 4608^2 + 6984^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 959004 + ... + 959076.

Almost surely, 2^70009920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129636012).

70009920 is an abundant number, since it is smaller than the sum of its proper divisors (189262104).

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

70009920 is a wasteful number, since it uses less digits than its factorization.

70009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 70009920 is about 8367.1930777292. The cubic root of 70009920 is about 412.1479972280.

Adding to 70009920 its reverse (2990007), we get a palindrome (72999927).

The spelling of 70009920 in words is "seventy million, nine thousand, nine hundred twenty".