1640652000 has 288 divisors, whose sum is σ = 5827217760. Its totient is φ = 403353600.

The previous prime is 1640651933. The next prime is 1640652007. The reversal of 1640652000 is 2560461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640652007) 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, 2027596 + ... + 2028404.

It is an arithmetic number, because the mean of its divisors is an integer number (20233395).

Almost surely, 2^1640652000 is an apocalyptic number.

1640652000 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 1640652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913608880).

1640652000 is an abundant number, since it is smaller than the sum of its proper divisors (4186565760).

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

1640652000 is a wasteful number, since it uses less digits than its factorization.

1640652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1640652000 is about 40504.9626589138. The cubic root of 1640652000 is about 1179.4299650240.

The spelling of 1640652000 in words is "one billion, six hundred forty million, six hundred fifty-two thousand".