1564101630 has 128 divisors (see below), whose sum is σ = 5133542400. Its totient is φ = 330003072.

The previous prime is 1564101601. The next prime is 1564101691. The reversal of 1564101630 is 361014651.

1564101630 is a `hidden beast` number, since 1 + 5 + 641 + 0 + 16 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1564101594 and 1564101603.

It is a congruent number.

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, 7260 + ... + 56399.

It is an arithmetic number, because the mean of its divisors is an integer number (40105800).

Almost surely, 2^1564101630 is an apocalyptic number.

1564101630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1564101630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566771200).

1564101630 is an abundant number, since it is smaller than the sum of its proper divisors (3569440770).

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

1564101630 is a wasteful number, since it uses less digits than its factorization.

1564101630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63695 (or 63689 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1564101630 is about 39548.7247582017. The cubic root of 1564101630 is about 1160.7935587645.

The spelling of 1564101630 in words is "one billion, five hundred sixty-four million, one hundred one thousand, six hundred thirty".