35013120 has 160 divisors (see below), whose sum is σ = 115492608. Its totient is φ = 9043968.

The previous prime is 35013113. The next prime is 35013133. The reversal of 35013120 is 2131053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 35013120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360912 + ... + 361008.

Almost surely, 2^35013120 is an apocalyptic number.

35013120 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 35013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304).

35013120 is an abundant number, since it is smaller than the sum of its proper divisors (80479488).

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

35013120 is an equidigital number, since it uses as much as digits as its factorization.

35013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 35013120 is about 5917.1885215869. The cubic root of 35013120 is about 327.1474986651.

Adding to 35013120 its reverse (2131053), we get a palindrome (37144173).

The spelling of 35013120 in words is "thirty-five million, thirteen thousand, one hundred twenty".