526631616 has 252 divisors, whose sum is σ = 1797820128. Its totient is φ = 146893824.

The previous prime is 526631557. The next prime is 526631639. The reversal of 526631616 is 616136625.

526631616 is a `hidden beast` number, since 5 + 2 + 6 + 6 + 31 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 1326330 + ... + 1326726.

Almost surely, 2^526631616 is an apocalyptic number.

526631616 is a gapful number since it is divisible by the number (56) 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 526631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898910064).

526631616 is an abundant number, since it is smaller than the sum of its proper divisors (1271188512).

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

526631616 is a wasteful number, since it uses less digits than its factorization.

526631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 526631616 is about 22948.4556343123. The cubic root of 526631616 is about 807.5491717637.

The spelling of 526631616 in words is "five hundred twenty-six million, six hundred thirty-one thousand, six hundred sixteen".