96861648 has 160 divisors (see below), whose sum is σ = 298480896. Its totient is φ = 26763264.

The previous prime is 96861641. The next prime is 96861649. The reversal of 96861648 is 84616869.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 96861597 and 96861606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96861641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243786 + ... + 244182.

Almost surely, 2^96861648 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 96861648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149240448).

96861648 is an abundant number, since it is smaller than the sum of its proper divisors (201619248).

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

96861648 is a wasteful number, since it uses less digits than its factorization.

96861648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 96861648 is about 9841.8315368635. The cubic root of 96861648 is about 459.2515364627.

The spelling of 96861648 in words is "ninety-six million, eight hundred sixty-one thousand, six hundred forty-eight".