978507648 has 64 divisors (see below), whose sum is σ = 2887966800. Its totient is φ = 326168064.

The previous prime is 978507643. The next prime is 978507659. The reversal of 978507648 is 846705879.

978507648 is a `hidden beast` number, since 9 + 78 + 507 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 978507594 and 978507603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978507643) 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, 138111 + ... + 145022.

Almost surely, 2^978507648 is an apocalyptic number.

It is an amenable number.

978507648 is an abundant number, since it is smaller than the sum of its proper divisors (1909459152).

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

978507648 is a wasteful number, since it uses less digits than its factorization.

978507648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283156 (or 283138 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 978507648 is about 31281.1068857865. The cubic root of 978507648 is about 992.7839363426.

The spelling of 978507648 in words is "nine hundred seventy-eight million, five hundred seven thousand, six hundred forty-eight".