537580680 has 256 divisors, whose sum is σ = 2090188800. Its totient is φ = 107412480.

The previous prime is 537580669. The next prime is 537580691. The reversal of 537580680 is 86085735.

It is an interprime number because it is at equal distance from previous prime (537580669) and next prime (537580691).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206185 + ... + 208775.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2^537580680 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 537580680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045094400).

537580680 is an abundant number, since it is smaller than the sum of its proper divisors (1552608120).

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

537580680 is a wasteful number, since it uses less digits than its factorization.

537580680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 537580680 is about 23185.7861630784. The cubic root of 537580680 is about 813.1073448701.

The spelling of 537580680 in words is "five hundred thirty-seven million, five hundred eighty thousand, six hundred eighty".