1029649872 has 160 divisors (see below), whose sum is σ = 2879815680. Its totient is φ = 316270080.

The previous prime is 1029649849. The next prime is 1029649877. The reversal of 1029649872 is 2789469201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029649877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4617153 + ... + 4617375.

It is an arithmetic number, because the mean of its divisors is an integer number (17998848).

Almost surely, 2^1029649872 is an apocalyptic number.

1029649872 is a gapful number since it is divisible by the number (12) 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 1029649872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439907840).

1029649872 is an abundant number, since it is smaller than the sum of its proper divisors (1850165808).

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

1029649872 is a wasteful number, since it uses less digits than its factorization.

1029649872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1029649872 is about 32088.1578156179. The cubic root of 1029649872 is about 1009.7871890944.

The spelling of 1029649872 in words is "one billion, twenty-nine million, six hundred forty-nine thousand, eight hundred seventy-two".