35890140 has 192 divisors, whose sum is σ = 121927680. Its totient is φ = 7772160.

The previous prime is 35890123. The next prime is 35890147. The reversal of 35890140 is 4109853.

35890140 = T₂₅₄₉ + T₂₅₅₀ + ... + T₂₅₅₉.

35890140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 35890098 and 35890107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35890147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403216 + ... + 403304.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^35890140 is an apocalyptic number.

35890140 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 35890140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

35890140 is an abundant number, since it is smaller than the sum of its proper divisors (86037540).

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

35890140 is a wasteful number, since it uses less digits than its factorization.

35890140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 35890140 is about 5990.8380048204. The cubic root of 35890140 is about 329.8565032677.

Adding to 35890140 its reverse (4109853), we get a palindrome (39999993).

The spelling of 35890140 in words is "thirty-five million, eight hundred ninety thousand, one hundred forty".