35525820 has 96 divisors (see below), whose sum is σ = 114266880. Its totient is φ = 8156160.

The previous prime is 35525807. The next prime is 35525849. The reversal of 35525820 is 2852553.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11124 + ... + 13956.

It is an arithmetic number, because the mean of its divisors is an integer number (1190280).

Almost surely, 2^35525820 is an apocalyptic number.

35525820 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 35525820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57133440).

35525820 is an abundant number, since it is smaller than the sum of its proper divisors (78741060).

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

35525820 is a wasteful number, since it uses less digits than its factorization.

35525820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 35525820 is about 5960.3540163316. The cubic root of 35525820 is about 328.7365832785.

The spelling of 35525820 in words is "thirty-five million, five hundred twenty-five thousand, eight hundred twenty".