1153376640 has 384 divisors, whose sum is σ = 4368480480. Its totient is φ = 278691840.

The previous prime is 1153376629. The next prime is 1153376683. The reversal of 1153376640 is 466733511.

1153376640 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 3 + 7 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1153376595 and 1153376604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5466135 + ... + 5466345.

Almost surely, 2^1153376640 is an apocalyptic number.

1153376640 is a gapful number since it is divisible by the number (10) 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 1153376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184240240).

1153376640 is an abundant number, since it is smaller than the sum of its proper divisors (3215103840).

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

1153376640 is a wasteful number, since it uses less digits than its factorization.

1153376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1153376640 is about 33961.3992644591. The cubic root of 1153376640 is about 1048.7139629234.

The spelling of 1153376640 in words is "one billion, one hundred fifty-three million, three hundred seventy-six thousand, six hundred forty".