35080864 has 72 divisors (see below), whose sum is σ = 86571828. Its totient is φ = 13870080.

The previous prime is 35080861. The next prime is 35080867. The reversal of 35080864 is 46808053.

It is an interprime number because it is at equal distance from previous prime (35080861) and next prime (35080867).

It can be written as a sum of positive squares in 2 ways, for example, as 34904464 + 176400 = 5908^2 + 420^2 .

It is not an unprimeable number, because it can be changed into a prime (35080861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19524 + ... + 21244.

Almost surely, 2^35080864 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 35080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43285914).

35080864 is an abundant number, since it is smaller than the sum of its proper divisors (51490964).

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

35080864 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (35080863) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1758).

35080864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 35080864 is about 5922.9100955527. The cubic root of 35080864 is about 327.3583529789.

It can be divided in two parts, 350 and 80864, that multiplied together give a square (28302400 = 5320²).

The spelling of 35080864 in words is "thirty-five million, eighty thousand, eight hundred sixty-four".