1029084540 has 96 divisors (see below), whose sum is σ = 3156136704. Its totient is φ = 248463360.

The previous prime is 1029084533. The next prime is 1029084541. The reversal of 1029084540 is 454809201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029084541) 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, 166587 + ... + 172653.

It is an arithmetic number, because the mean of its divisors is an integer number (32876424).

Almost surely, 2^1029084540 is an apocalyptic number.

1029084540 is a gapful number since it is divisible by the number (10) 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 1029084540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578068352).

1029084540 is an abundant number, since it is smaller than the sum of its proper divisors (2127052164).

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

1029084540 is a wasteful number, since it uses less digits than its factorization.

1029084540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6347 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1029084540 is about 32079.3475619440. The cubic root of 1029084540 is about 1009.6023464804.

It can be divided in two parts, 10290 and 84540, that added together give a triangular number (94830 = T₄₃₅).

The spelling of 1029084540 in words is "one billion, twenty-nine million, eighty-four thousand, five hundred forty".