1620867600 has 405 divisors, whose sum is σ = 6285715527. Its totient is φ = 386496000.

The previous prime is 1620867587. The next prime is 1620867641. The reversal of 1620867600 is 67680261.

It is a happy number.

The square root of 1620867600 is 40260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 746600976 + 874266624 = 27324^2 + 29568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26571570 + ... + 26571630.

Almost surely, 2^1620867600 is an apocalyptic number.

1620867600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1620867600 is the 40260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1620867600

1620867600 is an abundant number, since it is smaller than the sum of its proper divisors (4664847927).

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

1620867600 is a wasteful number, since it uses less digits than its factorization.

1620867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 1620867600 is about 1174.6699178445.

Multiplying 1620867600 by its sum of digits (36), we get a square (58351233600 = 241560²).

1620867600 divided by its sum of digits (36) gives a square (45024100 = 6710²).

The spelling of 1620867600 in words is "one billion, six hundred twenty million, eight hundred sixty-seven thousand, six hundred".