1007207264 has 48 divisors (see below), whose sum is σ = 2287450368. Its totient is φ = 427615872.

The previous prime is 1007207263. The next prime is 1007207269. The reversal of 1007207264 is 4627027001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007207263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2957 + ... + 44979.

It is an arithmetic number, because the mean of its divisors is an integer number (47655216).

Almost surely, 2^1007207264 is an apocalyptic number.

1007207264 is a gapful number since it is divisible by the number (14) 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 1007207264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143725184).

1007207264 is an abundant number, since it is smaller than the sum of its proper divisors (1280243104).

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

1007207264 is a wasteful number, since it uses less digits than its factorization.

1007207264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42147 (or 42139 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 1007207264 is about 31736.5288587142. The cubic root of 1007207264 is about 1002.3966727044.

The spelling of 1007207264 in words is "one billion, seven million, two hundred seven thousand, two hundred sixty-four".