1072947640 has 64 divisors (see below), whose sum is σ = 2462866560. Its totient is φ = 420600960.

The previous prime is 1072947637. The next prime is 1072947643. The reversal of 1072947640 is 467492701.

It is an interprime number because it is at equal distance from previous prime (1072947637) and next prime (1072947643).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1072947593 and 1072947602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072947643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433687 + ... + 436153.

It is an arithmetic number, because the mean of its divisors is an integer number (38482290).

Almost surely, 2^1072947640 is an apocalyptic number.

1072947640 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 1072947640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231433280).

1072947640 is an abundant number, since it is smaller than the sum of its proper divisors (1389918920).

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

1072947640 is a wasteful number, since it uses less digits than its factorization.

1072947640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 1072947640 is about 32755.8794722413. The cubic root of 1072947640 is about 1023.7474734356.

The spelling of 1072947640 in words is "one billion, seventy-two million, nine hundred forty-seven thousand, six hundred forty".