1359961920 has 448 divisors, whose sum is σ = 5214274560. Its totient is φ = 332365824.

The previous prime is 1359961907. The next prime is 1359961921. The reversal of 1359961920 is 291699531.

It is a happy number.

1359961920 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 9 + 619 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359961921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6903262 + ... + 6903458.

Almost surely, 2^1359961920 is an apocalyptic number.

1359961920 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 1359961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607137280).

1359961920 is an abundant number, since it is smaller than the sum of its proper divisors (3854312640).

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

1359961920 is a wasteful number, since it uses less digits than its factorization.

1359961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1359961920 is about 36877.6615310678. The cubic root of 1359961920 is about 1107.9213105590.

The spelling of 1359961920 in words is "one billion, three hundred fifty-nine million, nine hundred sixty-one thousand, nine hundred twenty".