1972608 has 64 divisors (see below), whose sum is σ = 5728320. Its totient is φ = 596480.

The previous prime is 1972603. The next prime is 1972613. The reversal of 1972608 is 8062791.

It is an interprime number because it is at equal distance from previous prime (1972603) and next prime (1972613).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3991 + ... + 4457.

It is an arithmetic number, because the mean of its divisors is an integer number (89505).

2^1972608 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 1972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864160).

1972608 is an abundant number, since it is smaller than the sum of its proper divisors (3755712).

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

1972608 is a wasteful number, since it uses less digits than its factorization.

1972608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1972608 is about 1404.4956390107. The cubic root of 1972608 is about 125.4142629066.

It can be divided in two parts, 19 and 72608, that added together give a palindrome (72627).

The spelling of 1972608 in words is "one million, nine hundred seventy-two thousand, six hundred eight".