35487648 has 144 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 9773568.

The previous prime is 35487637. The next prime is 35487659. The reversal of 35487648 is 84678453.

It is an interprime number because it is at equal distance from previous prime (35487637) and next prime (35487659).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58161 + ... + 58767.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 2^35487648 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 35487648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

35487648 is an abundant number, since it is smaller than the sum of its proper divisors (84020832).

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

35487648 is a wasteful number, since it uses less digits than its factorization.

35487648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 35487648 is about 5957.1509969112. The cubic root of 35487648 is about 328.6188001192.

The spelling of 35487648 in words is "thirty-five million, four hundred eighty-seven thousand, six hundred forty-eight".