35136864 has 144 divisors (see below), whose sum is σ = 118329120. Its totient is φ = 9676800.

The previous prime is 35136863. The next prime is 35136869. The reversal of 35136864 is 46863153.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35136863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58164 + ... + 58764.

It is an arithmetic number, because the mean of its divisors is an integer number (821730).

Almost surely, 2^35136864 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 35136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59164560).

35136864 is an abundant number, since it is smaller than the sum of its proper divisors (83192256).

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

35136864 is a wasteful number, since it uses less digits than its factorization.

35136864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 642 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 35136864 is about 5927.6356163314. The cubic root of 35136864 is about 327.5324490506.

The spelling of 35136864 in words is "thirty-five million, one hundred thirty-six thousand, eight hundred sixty-four".