35164980 has 72 divisors (see below), whose sum is σ = 107164512. Its totient is φ = 9333696.

The previous prime is 35164979. The next prime is 35165021. The reversal of 35164980 is 8946153.

35164980 is a `hidden beast` number, since 3 + 5 + 1 + 649 + 8 + 0 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62179 + ... + 62741.

It is an arithmetic number, because the mean of its divisors is an integer number (1488396).

Almost surely, 2^35164980 is an apocalyptic number.

35164980 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 35164980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53582256).

35164980 is an abundant number, since it is smaller than the sum of its proper divisors (71999532).

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

35164980 is a wasteful number, since it uses less digits than its factorization.

35164980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 35164980 is about 5930.0067453587. The cubic root of 35164980 is about 327.6197879696.

The spelling of 35164980 in words is "thirty-five million, one hundred sixty-four thousand, nine hundred eighty".