1042292664 has 256 divisors, whose sum is σ = 3513753600. Its totient is φ = 279936000.

The previous prime is 1042292651. The next prime is 1042292717. The reversal of 1042292664 is 4662922401.

1042292664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1733964 + ... + 1734564.

It is an arithmetic number, because the mean of its divisors is an integer number (13725600).

Almost surely, 2^1042292664 is an apocalyptic number.

1042292664 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 1042292664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756876800).

1042292664 is an abundant number, since it is smaller than the sum of its proper divisors (2471460936).

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

1042292664 is a wasteful number, since it uses less digits than its factorization.

1042292664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1042292664 is about 32284.5576708122. The cubic root of 1042292664 is about 1013.9033555172.

The spelling of 1042292664 in words is "one billion, forty-two million, two hundred ninety-two thousand, six hundred sixty-four".