1970640 has 240 divisors, whose sum is σ = 8356608. Its totient is φ = 405504.

The previous prime is 1970629. The next prime is 1970641. The reversal of 1970640 is 460791.

1970640 = T₇₀ + T₇₁ + ... + T₂₂₉.

1970640 is a `hidden beast` number, since 19 + 7 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1970641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85669 + ... + 85691.

2^1970640 is an apocalyptic number.

1970640 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 1970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178304).

1970640 is an abundant number, since it is smaller than the sum of its proper divisors (6385968).

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

1970640 is a wasteful number, since it uses less digits than its factorization.

1970640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

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

The square root of 1970640 is about 1403.7948568078. The cubic root of 1970640 is about 125.3725419304.

The spelling of 1970640 in words is "one million, nine hundred seventy thousand, six hundred forty".