35070080 has 64 divisors (see below), whose sum is σ = 86163480. Its totient is φ = 13639680.

The previous prime is 35070071. The next prime is 35070089. The reversal of 35070080 is 8007053.

It is an interprime number because it is at equal distance from previous prime (35070071) and next prime (35070089).

It can be written as a sum of positive squares in 4 ways, for example, as 32535616 + 2534464 = 5704^2 + 1592^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×35070080² = 2459821022412800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35070089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22940 + ... + 24420.

Almost surely, 2^35070080 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 35070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43081740).

35070080 is an abundant number, since it is smaller than the sum of its proper divisors (51093400).

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

35070080 is a wasteful number, since it uses less digits than its factorization.

35070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 35070080 is about 5921.9996622762. Note that the first 3 decimals coincide. The cubic root of 35070080 is about 327.3248057790.

The spelling of 35070080 in words is "thirty-five million, seventy thousand, eighty".