35068896 has 96 divisors (see below), whose sum is σ = 105144480. Its totient is φ = 11363328.

The previous prime is 35068883. The next prime is 35068903. The reversal of 35068896 is 69886053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31420 + ... + 32516.

It is an arithmetic number, because the mean of its divisors is an integer number (1095255).

Almost surely, 2^35068896 is an apocalyptic number.

35068896 is a gapful number since it is divisible by the number (36) 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 35068896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52572240).

35068896 is an abundant number, since it is smaller than the sum of its proper divisors (70075584).

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

35068896 is a wasteful number, since it uses less digits than its factorization.

35068896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 35068896 is about 5921.8996951992. The cubic root of 35068896 is about 327.3211221363.

The spelling of 35068896 in words is "thirty-five million, sixty-eight thousand, eight hundred ninety-six".