93951648 has 144 divisors (see below), whose sum is σ = 316068480. Its totient is φ = 25901568.

The previous prime is 93951647. The next prime is 93951691. The reversal of 93951648 is 84615939.

It is a happy number.

93951648 is a `hidden beast` number, since 93 + 9 + 516 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93951643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57661 + ... + 59267.

It is an arithmetic number, because the mean of its divisors is an integer number (2194920).

Almost surely, 2^93951648 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 93951648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158034240).

93951648 is an abundant number, since it is smaller than the sum of its proper divisors (222116832).

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

93951648 is a wasteful number, since it uses less digits than its factorization.

93951648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1648 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 93951648 is about 9692.8658300835. The cubic root of 93951648 is about 454.6056205061.

The spelling of 93951648 in words is "ninety-three million, nine hundred fifty-one thousand, six hundred forty-eight".