35540120 has 96 divisors (see below), whose sum is σ = 100548000. Its totient is φ = 11066880.

The previous prime is 35540119. The next prime is 35540137. The reversal of 35540120 is 2104553.

It is a super-2 number, since 2×35540120² = 2526200259228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 35540092 and 35540101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33356 + ... + 34404.

It is an arithmetic number, because the mean of its divisors is an integer number (1047375).

Almost surely, 2^35540120 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 35540120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50274000).

35540120 is an abundant number, since it is smaller than the sum of its proper divisors (65007880).

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

35540120 is a wasteful number, since it uses less digits than its factorization.

35540120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 35540120 is about 5961.5534888148. The cubic root of 35540120 is about 328.7806854980.

Adding to 35540120 its reverse (2104553), we get a palindrome (37644673).

The spelling of 35540120 in words is "thirty-five million, five hundred forty thousand, one hundred twenty".