83607648 has 48 divisors (see below), whose sum is σ = 219942576. Its totient is φ = 27809280.

The previous prime is 83607647. The next prime is 83607677. The reversal of 83607648 is 84670638.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83607647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81378 + ... + 82398.

It is an arithmetic number, because the mean of its divisors is an integer number (4582137).

Almost surely, 2^83607648 is an apocalyptic number.

It is an amenable number.

83607648 is an abundant number, since it is smaller than the sum of its proper divisors (136334928).

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

83607648 is a wasteful number, since it uses less digits than its factorization.

83607648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 83607648 is about 9143.7217805443. The cubic root of 83607648 is about 437.2689793105.

It can be divided in two parts, 83607 and 648, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 83607648 in words is "eighty-three million, six hundred seven thousand, six hundred forty-eight".