1421600064 has 112 divisors (see below), whose sum is σ = 3983004480. Its totient is φ = 446238720.

The previous prime is 1421600041. The next prime is 1421600069. The reversal of 1421600064 is 4600061241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421600069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659212 + ... + 661364.

It is an arithmetic number, because the mean of its divisors is an integer number (35562540).

Almost surely, 2^1421600064 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 1421600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991502240).

1421600064 is an abundant number, since it is smaller than the sum of its proper divisors (2561404416).

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

1421600064 is a wasteful number, since it uses less digits than its factorization.

1421600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1421600064 is about 37704.1120303873. The cubic root of 1421600064 is about 1124.4128792239.

The spelling of 1421600064 in words is "one billion, four hundred twenty-one million, six hundred thousand, sixty-four".