1970761104 has 280 divisors, whose sum is σ = 6335578872. Its totient is φ = 589731840.

The previous prime is 1970761061. The next prime is 1970761151. The reversal of 1970761104 is 4011670791.

It can be written as a sum of positive squares in 4 ways, for example, as 241864704 + 1728896400 = 15552^2 + 41580^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6216754 + ... + 6217070.

Almost surely, 2^1970761104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1970761104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167789436).

1970761104 is an abundant number, since it is smaller than the sum of its proper divisors (4364817768).

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

1970761104 is a wasteful number, since it uses less digits than its factorization.

1970761104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1970761104 is about 44393.2551633691. The cubic root of 1970761104 is about 1253.7511009865.

The spelling of 1970761104 in words is "one billion, nine hundred seventy million, seven hundred sixty-one thousand, one hundred four".