1029907152 has 60 divisors (see below), whose sum is σ = 2890617444. Its totient is φ = 342312960.

The previous prime is 1029907139. The next prime is 1029907157. The reversal of 1029907152 is 2517099201.

It can be written as a sum of positive squares in 2 ways, for example, as 156350016 + 873557136 = 12504^2 + 29556^2 .

It is a super-2 number, since 2×1029907152² = 2121417483481502208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029907157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40702 + ... + 60962.

Almost surely, 2^1029907152 is an apocalyptic number.

1029907152 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 1029907152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445308722).

1029907152 is an abundant number, since it is smaller than the sum of its proper divisors (1860710292).

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

1029907152 is a wasteful number, since it uses less digits than its factorization.

1029907152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20628 (or 20619 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1029907152 is about 32092.1665208194. The cubic root of 1029907152 is about 1009.8712877184.

The spelling of 1029907152 in words is "one billion, twenty-nine million, nine hundred seven thousand, one hundred fifty-two".