1031429664 has 144 divisors (see below), whose sum is σ = 3126719232. Its totient is φ = 321767424.

The previous prime is 1031429657. The next prime is 1031429717. The reversal of 1031429664 is 4669241301.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309672 + ... + 312984.

It is an arithmetic number, because the mean of its divisors is an integer number (21713328).

Almost surely, 2^1031429664 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 1031429664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563359616).

1031429664 is an abundant number, since it is smaller than the sum of its proper divisors (2095289568).

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

1031429664 is a wasteful number, since it uses less digits than its factorization.

1031429664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1031429664 is about 32115.8786895205. The cubic root of 1031429664 is about 1010.3686736958.

The spelling of 1031429664 in words is "one billion, thirty-one million, four hundred twenty-nine thousand, six hundred sixty-four".