35800164 has 144 divisors (see below), whose sum is σ = 104527360. Its totient is φ = 10575360.

The previous prime is 35800151. The next prime is 35800169. The reversal of 35800164 is 46100853.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (35800169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967554 + ... + 967590.

Almost surely, 2^35800164 is an apocalyptic number.

35800164 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 35800164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52263680).

35800164 is an abundant number, since it is smaller than the sum of its proper divisors (68727196).

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

35800164 is a wasteful number, since it uses less digits than its factorization.

35800164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 35800164 is about 5983.3238254335. The cubic root of 35800164 is about 329.5806242930.

The spelling of 35800164 in words is "thirty-five million, eight hundred thousand, one hundred sixty-four".