1960657920 has 352 divisors, whose sum is σ = 7510688640. Its totient is φ = 482181120.

The previous prime is 1960657901. The next prime is 1960657921. The reversal of 1960657920 is 297560691.

It is a happy number.

1960657920 is a `hidden beast` number, since 19 + 60 + 6 + 579 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1960657921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796575 + ... + 1797665.

Almost surely, 2^1960657920 is an apocalyptic number.

1960657920 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 1960657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755344320).

1960657920 is an abundant number, since it is smaller than the sum of its proper divisors (5550030720).

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

1960657920 is a wasteful number, since it uses less digits than its factorization.

1960657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1960657920 is about 44279.3170679043. The cubic root of 1960657920 is about 1251.6049613307.

The spelling of 1960657920 in words is "one billion, nine hundred sixty million, six hundred fifty-seven thousand, nine hundred twenty".