1007235264 has 56 divisors (see below), whose sum is σ = 3045691648. Its totient is φ = 287781120.

The previous prime is 1007235247. The next prime is 1007235269. The reversal of 1007235264 is 4625327001.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (1007235269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373372 + ... + 376059.

Almost surely, 2^1007235264 is an apocalyptic number.

1007235264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1007235264 is an abundant number, since it is smaller than the sum of its proper divisors (2038456384).

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

1007235264 is an equidigital number, since it uses as much as digits as its factorization.

1007235264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749453 (or 749443 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1007235264 is about 31736.9699876973. The cubic root of 1007235264 is about 1002.4059613741.

The spelling of 1007235264 in words is "one billion, seven million, two hundred thirty-five thousand, two hundred sixty-four".