1630753560 has 384 divisors, whose sum is σ = 5943974400. Its totient is φ = 400619520.

The previous prime is 1630753559. The next prime is 1630753573. The reversal of 1630753560 is 653570361.

It is a happy number.

1630753560 is a `hidden beast` number, since 1 + 63 + 0 + 7 + 535 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11731971 + ... + 11732109.

It is an arithmetic number, because the mean of its divisors is an integer number (15479100).

Almost surely, 2^1630753560 is an apocalyptic number.

1630753560 is a gapful number since it is divisible by the number (10) 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 1630753560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971987200).

1630753560 is an abundant number, since it is smaller than the sum of its proper divisors (4313220840).

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

1630753560 is a wasteful number, since it uses less digits than its factorization.

1630753560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 1630753560 is about 40382.5898129380. The cubic root of 1630753560 is about 1177.0532525695.

The spelling of 1630753560 in words is "one billion, six hundred thirty million, seven hundred fifty-three thousand, five hundred sixty".