1157001840 has 320 divisors, whose sum is σ = 4234014720. Its totient is φ = 289889280.

The previous prime is 1157001799. The next prime is 1157001851. The reversal of 1157001840 is 481007511.

1157001840 is a `hidden beast` number, since 11 + 570 + 0 + 1 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2477287 + ... + 2477753.

It is an arithmetic number, because the mean of its divisors is an integer number (13231296).

Almost surely, 2^1157001840 is an apocalyptic number.

1157001840 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 1157001840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117007360).

1157001840 is an abundant number, since it is smaller than the sum of its proper divisors (3077012880).

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

1157001840 is a wasteful number, since it uses less digits than its factorization.

1157001840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1157001840 is about 34014.7297505066. The cubic root of 1157001840 is about 1049.8115580193.

The spelling of 1157001840 in words is "one billion, one hundred fifty-seven million, one thousand, eight hundred forty".