1151007840 has 384 divisors, whose sum is σ = 4366656000. Its totient is φ = 282175488.

The previous prime is 1151007827. The next prime is 1151007853. The reversal of 1151007840 is 487001511.

It is an interprime number because it is at equal distance from previous prime (1151007827) and next prime (1151007853).

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, 3036771 + ... + 3037149.

It is an arithmetic number, because the mean of its divisors is an integer number (11371500).

Almost surely, 2^1151007840 is an apocalyptic number.

1151007840 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 1151007840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183328000).

1151007840 is an abundant number, since it is smaller than the sum of its proper divisors (3215648160).

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

1151007840 is a wasteful number, since it uses less digits than its factorization.

1151007840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

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

The square root of 1151007840 is about 33926.5064514459. The cubic root of 1151007840 is about 1047.9955227748.

The spelling of 1151007840 in words is "one billion, one hundred fifty-one million, seven thousand, eight hundred forty".