1610005248 has 126 divisors (see below), whose sum is σ = 4818936444. Its totient is φ = 536606208.

The previous prime is 1610005219. The next prime is 1610005249. The reversal of 1610005248 is 8425000161.

1610005248 is a `hidden beast` number, since 1 + 610 + 0 + 0 + 5 + 2 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1610005249) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 182311 + ... + 190937.

Almost surely, 2^1610005248 is an apocalyptic number.

1610005248 is a gapful number since it is divisible by the number (18) 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 1610005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409468222).

1610005248 is an abundant number, since it is smaller than the sum of its proper divisors (3208931196).

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

1610005248 is an frugal number, since it uses more digits than its factorization.

1610005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661 (or 8632 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1610005248 is about 40124.8706913804. The cubic root of 1610005248 is about 1172.0399913357.

The spelling of 1610005248 in words is "one billion, six hundred ten million, five thousand, two hundred forty-eight".