1610245152 has 288 divisors, whose sum is σ = 4992938496. Its totient is φ = 491212800.

The previous prime is 1610245129. The next prime is 1610245181. The reversal of 1610245152 is 2515420161.

1610245152 is a `hidden beast` number, since 1 + 610 + 2 + 45 + 1 + 5 + 2 = 666.

1610245152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19400503 + ... + 19400585.

It is an arithmetic number, because the mean of its divisors is an integer number (17336592).

Almost surely, 2^1610245152 is an apocalyptic number.

1610245152 is a gapful number since it is divisible by the number (12) 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 1610245152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496469248).

1610245152 is an abundant number, since it is smaller than the sum of its proper divisors (3382693344).

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

1610245152 is a wasteful number, since it uses less digits than its factorization.

1610245152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1610245152 is about 40127.8600476028. The cubic root of 1610245152 is about 1172.0982029715.

It can be divided in two parts, 161024 and 5152, that added together give a triangular number (166176 = T₅₇₆).

The spelling of 1610245152 in words is "one billion, six hundred ten million, two hundred forty-five thousand, one hundred fifty-two".