1952157648 has 120 divisors (see below), whose sum is σ = 5922022752. Its totient is φ = 552475392.

The previous prime is 1952157607. The next prime is 1952157659. The reversal of 1952157648 is 8467512591.

It is a happy number.

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 = 1952157597 and 1952157606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247786 + ... + 255542.

Almost surely, 2^1952157648 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 1952157648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961011376).

1952157648 is an abundant number, since it is smaller than the sum of its proper divisors (3969865104).

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

1952157648 is a wasteful number, since it uses less digits than its factorization.

1952157648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7889 (or 7876 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 1952157648 is about 44183.2281301401. The cubic root of 1952157648 is about 1249.7935974936.

The spelling of 1952157648 in words is "one billion, nine hundred fifty-two million, one hundred fifty-seven thousand, six hundred forty-eight".