1962124416 has 384 divisors, whose sum is σ = 6843432960. Its totient is φ = 527800320.

The previous prime is 1962124363. The next prime is 1962124459. The reversal of 1962124416 is 6144212691.

1962124416 is a `hidden beast` number, since 1 + 9 + 621 + 24 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 11749165 + ... + 11749331.

It is an arithmetic number, because the mean of its divisors is an integer number (17821440).

Almost surely, 2^1962124416 is an apocalyptic number.

1962124416 is a gapful number since it is divisible by the number (16) 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 1962124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421716480).

1962124416 is an abundant number, since it is smaller than the sum of its proper divisors (4881308544).

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

1962124416 is a wasteful number, since it uses less digits than its factorization.

1962124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1962124416 is about 44295.8735775693. The cubic root of 1962124416 is about 1251.9169342012.

The spelling of 1962124416 in words is "one billion, nine hundred sixty-two million, one hundred twenty-four thousand, four hundred sixteen".