1072649360 has 80 divisors (see below), whose sum is σ = 2555193600. Its totient is φ = 418649088.

The previous prime is 1072649359. The next prime is 1072649363. The reversal of 1072649360 is 639462701.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1072649363) 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, 561527 + ... + 563433.

It is an arithmetic number, because the mean of its divisors is an integer number (31939920).

Almost surely, 2^1072649360 is an apocalyptic number.

1072649360 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 1072649360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277596800).

1072649360 is an abundant number, since it is smaller than the sum of its proper divisors (1482544240).

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

1072649360 is a wasteful number, since it uses less digits than its factorization.

1072649360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 1072649360 is about 32751.3260800231. The cubic root of 1072649360 is about 1023.6525972005.

The spelling of 1072649360 in words is "one billion, seventy-two million, six hundred forty-nine thousand, three hundred sixty".