1157895648 has 240 divisors, whose sum is σ = 4192040160. Its totient is φ = 305316864.

The previous prime is 1157895631. The next prime is 1157895691. The reversal of 1157895648 is 8465987511.

It is a happy number.

1157895648 is a `hidden beast` number, since 1 + 1 + 5 + 78 + 9 + 564 + 8 = 666.

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 = 1157895594 and 1157895603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 233418 + ... + 238326.

It is an arithmetic number, because the mean of its divisors is an integer number (17466834).

Almost surely, 2^1157895648 is an apocalyptic number.

1157895648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157895648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096020080).

1157895648 is an abundant number, since it is smaller than the sum of its proper divisors (3034144512).

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

1157895648 is a wasteful number, since it uses less digits than its factorization.

1157895648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951 (or 4934 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The square root of 1157895648 is about 34027.8657573466. The cubic root of 1157895648 is about 1050.0818221952.

The spelling of 1157895648 in words is "one billion, one hundred fifty-seven million, eight hundred ninety-five thousand, six hundred forty-eight".