20074032 has 240 divisors, whose sum is σ = 69638400. Its totient is φ = 5322240.

The previous prime is 20074031. The next prime is 20074049. The reversal of 20074032 is 23047002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20073996 and 20074014.

It is not an unprimeable number, because it can be changed into a prime (20074031) 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, 692194 + ... + 692222.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^20074032 is an apocalyptic number.

20074032 is a gapful number since it is divisible by the number (22) 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 20074032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

20074032 is an abundant number, since it is smaller than the sum of its proper divisors (49564368).

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

20074032 is a wasteful number, since it uses less digits than its factorization.

20074032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 20074032 is about 4480.4053388059. The cubic root of 20074032 is about 271.7762721986.

The spelling of 20074032 in words is "twenty million, seventy-four thousand, thirty-two".