1002607952 has 80 divisors (see below), whose sum is σ = 2123911680. Its totient is φ = 457228800.

The previous prime is 1002607933. The next prime is 1002607967. The reversal of 1002607952 is 2597062001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617702 + ... + 619322.

It is an arithmetic number, because the mean of its divisors is an integer number (26548896).

Almost surely, 2^1002607952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002607952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061955840).

1002607952 is an abundant number, since it is smaller than the sum of its proper divisors (1121303728).

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

1002607952 is a wasteful number, since it uses less digits than its factorization.

1002607952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1002607952 is about 31663.9850934780. The cubic root of 1002607952 is about 1000.8685627137.

Adding to 1002607952 its reverse (2597062001), we get a palindrome (3599669953).

The spelling of 1002607952 in words is "one billion, two million, six hundred seven thousand, nine hundred fifty-two".