35142096 has 160 divisors (see below), whose sum is σ = 108564480. Its totient is φ = 9676800.

The previous prime is 35142083. The next prime is 35142109. The reversal of 35142096 is 69024153.

It is an interprime number because it is at equal distance from previous prime (35142083) and next prime (35142109).

It is a super-2 number, since 2×35142096² = 2469933822546432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310936 + ... + 311048.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 2^35142096 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 35142096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54282240).

35142096 is an abundant number, since it is smaller than the sum of its proper divisors (73422384).

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

35142096 is a wasteful number, since it uses less digits than its factorization.

35142096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 35142096 is about 5928.0769225778. The cubic root of 35142096 is about 327.5487051468.

The spelling of 35142096 in words is "thirty-five million, one hundred forty-two thousand, ninety-six".