1154787840 has 200 divisors, whose sum is σ = 4136827860. Its totient is φ = 307888128.

The previous prime is 1154787827. The next prime is 1154787853. The reversal of 1154787840 is 487874511.

It is an interprime number because it is at equal distance from previous prime (1154787827) and next prime (1154787853).

It can be written as a sum of positive squares in 2 ways, for example, as 1087416576 + 67371264 = 32976^2 + 8208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204576 + ... + 210144.

Almost surely, 2^1154787840 is an apocalyptic number.

1154787840 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 1154787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068413930).

1154787840 is an abundant number, since it is smaller than the sum of its proper divisors (2982040020).

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

1154787840 is an frugal number, since it uses more digits than its factorization.

1154787840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 1154787840 is about 33982.1694422237. The cubic root of 1154787840 is about 1049.1415023508.

The spelling of 1154787840 in words is "one billion, one hundred fifty-four million, seven hundred eighty-seven thousand, eight hundred forty".