1009347840 has 216 divisors, whose sum is σ = 3579088968. Its totient is φ = 262471680.

The previous prime is 1009347839. The next prime is 1009347841. The reversal of 1009347840 is 487439001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1009347839) and next prime (1009347841).

It can be written as a sum of positive squares in 4 ways, for example, as 59721984 + 949625856 = 7728^2 + 30816^2 .

It is a super-2 number, since 2×1009347840² = 2037566124225331200, which contains 22 as substring.

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 = 1009347795 and 1009347804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009347841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471252 + ... + 473388.

Almost surely, 2^1009347840 is an apocalyptic number.

1009347840 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 1009347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789544484).

1009347840 is an abundant number, since it is smaller than the sum of its proper divisors (2569741128).

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

1009347840 is a wasteful number, since it uses less digits than its factorization.

1009347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1009347840 is about 31770.2351266087. The cubic root of 1009347840 is about 1003.1062876528.

The spelling of 1009347840 in words is "one billion, nine million, three hundred forty-seven thousand, eight hundred forty".