537614820 has 120 divisors (see below), whose sum is σ = 1693952568. Its totient is φ = 142732800.

The previous prime is 537614801. The next prime is 537614839. The reversal of 537614820 is 28416735.

537614820 is a `hidden beast` number, since 5 + 37 + 614 + 8 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (537614801) and next prime (537614839).

It can be written as a sum of positive squares in 4 ways, for example, as 201185856 + 336428964 = 14184^2 + 18342^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 454630 + ... + 455810.

Almost surely, 2^537614820 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 537614820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846976284).

537614820 is an abundant number, since it is smaller than the sum of its proper divisors (1156337748).

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

537614820 is a wasteful number, since it uses less digits than its factorization.

537614820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 537614820 is about 23186.5223783128. The cubic root of 537614820 is about 813.1245571064.

The spelling of 537614820 in words is "five hundred thirty-seven million, six hundred fourteen thousand, eight hundred twenty".