1652164000 has 96 divisors (see below), whose sum is σ = 4273214400. Its totient is φ = 626054400.

The previous prime is 1652163979. The next prime is 1652164021. The reversal of 1652164000 is 4612561.

It is an interprime number because it is at equal distance from previous prime (1652163979) and next prime (1652164021).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65131 + ... + 86869.

It is an arithmetic number, because the mean of its divisors is an integer number (44512650).

Almost surely, 2^1652164000 is an apocalyptic number.

1652164000 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 1652164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136607200).

1652164000 is an abundant number, since it is smaller than the sum of its proper divisors (2621050400).

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

1652164000 is a wasteful number, since it uses less digits than its factorization.

1652164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21783 (or 21765 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1652164000 is about 40646.8202938434. The cubic root of 1652164000 is about 1182.1821156383.

Adding to 1652164000 its reverse (4612561), we get a palindrome (1656776561).

The spelling of 1652164000 in words is "one billion, six hundred fifty-two million, one hundred sixty-four thousand".