1970060400 has 960 divisors, whose sum is σ = 9210839040. Its totient is φ = 387763200.

The previous prime is 1970060381. The next prime is 1970060401. The reversal of 1970060400 is 40600791.

It is a super-2 number, since 2×1970060400² = 7762275959296320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1970060401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19126749 + ... + 19126851.

It is an arithmetic number, because the mean of its divisors is an integer number (9594624).

Almost surely, 2^1970060400 is an apocalyptic number.

1970060400 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 1970060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605419520).

1970060400 is an abundant number, since it is smaller than the sum of its proper divisors (7240778640).

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

1970060400 is a wasteful number, since it uses less digits than its factorization.

1970060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1970060400 is about 44385.3624520517. The cubic root of 1970060400 is about 1253.6024929947.

The spelling of 1970060400 in words is "one billion, nine hundred seventy million, sixty thousand, four hundred".