1620948672 has 280 divisors, whose sum is σ = 5782909440. Its totient is φ = 438566400.

The previous prime is 1620948629. The next prime is 1620948731. The reversal of 1620948672 is 2768490261.

It is a happy number.

1620948672 is a `hidden beast` number, since 162 + 0 + 9 + 486 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 688297 + ... + 690647.

It is an arithmetic number, because the mean of its divisors is an integer number (20653248).

Almost surely, 2^1620948672 is an apocalyptic number.

1620948672 is a gapful number since it is divisible by the number (12) 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 1620948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891454720).

1620948672 is an abundant number, since it is smaller than the sum of its proper divisors (4161960768).

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

1620948672 is a wasteful number, since it uses less digits than its factorization.

1620948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1620948672 is about 40261.0068428498. The cubic root of 1620948672 is about 1174.6895022638.

The spelling of 1620948672 in words is "one billion, six hundred twenty million, nine hundred forty-eight thousand, six hundred seventy-two".