35412564 has 96 divisors (see below), whose sum is σ = 97929216. Its totient is φ = 9838080.

The previous prime is 35412541. The next prime is 35412569. The reversal of 35412564 is 46521453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35412569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96309 + ... + 96675.

It is an arithmetic number, because the mean of its divisors is an integer number (1020096).

Almost surely, 2^35412564 is an apocalyptic number.

35412564 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 35412564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48964608).

35412564 is an abundant number, since it is smaller than the sum of its proper divisors (62516652).

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

35412564 is a wasteful number, since it uses less digits than its factorization.

35412564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 35412564 is about 5950.8456541907. The cubic root of 35412564 is about 328.3868749524.

Subtracting 35412564 from its reverse (46521453), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 3541 and 2564, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 35412564 in words is "thirty-five million, four hundred twelve thousand, five hundred sixty-four".