19764972 has 60 divisors (see below), whose sum is σ = 52690176. Its totient is φ = 6458400.

The previous prime is 19764971. The next prime is 19764973. The reversal of 19764972 is 27946791.

It is an interprime number because it is at equal distance from previous prime (19764971) and next prime (19764973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19764971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16597 + ... + 17747.

Almost surely, 2^19764972 is an apocalyptic number.

19764972 is a gapful number since it is divisible by the number (12) 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 19764972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26345088).

19764972 is an abundant number, since it is smaller than the sum of its proper divisors (32925204).

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

19764972 is a wasteful number, since it uses less digits than its factorization.

19764972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 19764972 is about 4445.7813711428. The cubic root of 19764972 is about 270.3742956963.

It can be divided in two parts, 19764 and 972, that added together give a 4-th power (20736 = 12⁴).

The spelling of 19764972 in words is "nineteen million, seven hundred sixty-four thousand, nine hundred seventy-two".