1582164480 has 480 divisors, whose sum is σ = 5822948736. Its totient is φ = 365494272.

The previous prime is 1582164461. The next prime is 1582164487. The reversal of 1582164480 is 844612851.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×1582164480³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1582164487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29852134 + ... + 29852186.

Almost surely, 2^1582164480 is an apocalyptic number.

1582164480 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 1582164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911474368).

1582164480 is an abundant number, since it is smaller than the sum of its proper divisors (4240784256).

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

1582164480 is a wasteful number, since it uses less digits than its factorization.

1582164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 1582164480 is about 39776.4312124655. The cubic root of 1582164480 is about 1165.2448980757.

The spelling of 1582164480 in words is "one billion, five hundred eighty-two million, one hundred sixty-four thousand, four hundred eighty".