35561000 has 64 divisors (see below), whose sum is σ = 85250880. Its totient is φ = 13876800.

The previous prime is 35560979. The next prime is 35561003. The reversal of 35561000 is 16553.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (35561003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42587 + ... + 43413.

It is an arithmetic number, because the mean of its divisors is an integer number (1332045).

Almost surely, 2^35561000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42625440).

35561000 is an abundant number, since it is smaller than the sum of its proper divisors (49689880).

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

35561000 is a wasteful number, since it uses less digits than its factorization.

35561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 35561000 is about 5963.3044530696. The cubic root of 35561000 is about 328.8450596641.

Adding to 35561000 its reverse (16553), we get a palindrome (35577553).

The spelling of 35561000 in words is "thirty-five million, five hundred sixty-one thousand".