1534557040 has 160 divisors (see below), whose sum is σ = 4014028800. Its totient is φ = 542868480.

The previous prime is 1534556993. The next prime is 1534557041. The reversal of 1534557040 is 407554351.

It is a junction number, because it is equal to n+sod(n) for n = 1534556987 and 1534557005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1534557041) 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, 1365919 + ... + 1367041.

It is an arithmetic number, because the mean of its divisors is an integer number (25087680).

Almost surely, 2^1534557040 is an apocalyptic number.

1534557040 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 1534557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007014400).

1534557040 is an abundant number, since it is smaller than the sum of its proper divisors (2479471760).

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

1534557040 is a wasteful number, since it uses less digits than its factorization.

1534557040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 1534557040 is about 39173.4226229979. The cubic root of 1534557040 is about 1153.4382394988.

The spelling of 1534557040 in words is "one billion, five hundred thirty-four million, five hundred fifty-seven thousand, forty".