35172864 has 120 divisors (see below), whose sum is σ = 107721900. Its totient is φ = 11010048.

The previous prime is 35172859. The next prime is 35172901. The reversal of 35172864 is 46827153.

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 1440000 = 5808^2 + 1200^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 78112 + ... + 78560.

Almost surely, 2^35172864 is an apocalyptic number.

35172864 is a gapful number since it is divisible by the number (34) 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 35172864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53860950).

35172864 is an abundant number, since it is smaller than the sum of its proper divisors (72549036).

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

35172864 is a wasteful number, since it uses less digits than its factorization.

35172864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 471 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 35172864 is about 5930.6714628278. The cubic root of 35172864 is about 327.6442702945.

The spelling of 35172864 in words is "thirty-five million, one hundred seventy-two thousand, eight hundred sixty-four".