35064900 has 252 divisors, whose sum is σ = 126180292. Its totient is φ = 8398080.

The previous prime is 35064889. The next prime is 35064907. The reversal of 35064900 is 946053.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 419904 + 34644996 = 648^2 + 5886^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (35064907) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 947682 + ... + 947718.

Almost surely, 2^35064900 is an apocalyptic number.

35064900 is a gapful number since it is divisible by the number (30) 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 35064900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63090146).

35064900 is an abundant number, since it is smaller than the sum of its proper divisors (91115392).

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

35064900 is a wasteful number, since it uses less digits than its factorization.

35064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 35064900 is about 5921.5622938546. The cubic root of 35064900 is about 327.3086892300.

The spelling of 35064900 in words is "thirty-five million, sixty-four thousand, nine hundred".