536657940 has 384 divisors, whose sum is σ = 2098360320. Its totient is φ = 110854656.

The previous prime is 536657917. The next prime is 536657951. The reversal of 536657940 is 49756635.

536657940 is a `hidden beast` number, since 5 + 36 + 6 + 579 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3292299 + ... + 3292461.

It is an arithmetic number, because the mean of its divisors is an integer number (5464480).

Almost surely, 2^536657940 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 536657940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049180160).

536657940 is an abundant number, since it is smaller than the sum of its proper divisors (1561702380).

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

536657940 is a wasteful number, since it uses less digits than its factorization.

536657940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 536657940 is about 23165.8787875617. The cubic root of 536657940 is about 812.6418542066.

The spelling of 536657940 in words is "five hundred thirty-six million, six hundred fifty-seven thousand, nine hundred forty".