1350961920 has 432 divisors, whose sum is σ = 5831384832. Its totient is φ = 280535040.

The previous prime is 1350961901. The next prime is 1350961949. The reversal of 1350961920 is 291690531.

1350961920 is a `hidden beast` number, since 1 + 3 + 509 + 61 + 92 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 886279 + ... + 887801.

It is an arithmetic number, because the mean of its divisors is an integer number (13498576).

Almost surely, 2^1350961920 is an apocalyptic number.

1350961920 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 1350961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915692416).

1350961920 is an abundant number, since it is smaller than the sum of its proper divisors (4480422912).

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

1350961920 is a wasteful number, since it uses less digits than its factorization.

1350961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1350961920 is about 36755.4338839851. The cubic root of 1350961920 is about 1105.4718867946.

The spelling of 1350961920 in words is "one billion, three hundred fifty million, nine hundred sixty-one thousand, nine hundred twenty".