1675652000 has 96 divisors (see below), whose sum is σ = 4491474624. Its totient is φ = 609312000.

The previous prime is 1675651973. The next prime is 1675652003. The reversal of 1675652000 is 2565761.

It is a happy number.

1675652000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1675652003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24959 + ... + 63041.

It is an arithmetic number, because the mean of its divisors is an integer number (46786194).

Almost surely, 2^1675652000 is an apocalyptic number.

1675652000 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 1675652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245737312).

1675652000 is an abundant number, since it is smaller than the sum of its proper divisors (2815822624).

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

1675652000 is a wasteful number, since it uses less digits than its factorization.

1675652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38119 (or 38101 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 1675652000 is about 40934.7285321400. The cubic root of 1675652000 is about 1187.7579421205.

The spelling of 1675652000 in words is "one billion, six hundred seventy-five million, six hundred fifty-two thousand".