672038400 has 480 divisors, whose sum is σ = 2545158528. Its totient is φ = 154828800.

The previous prime is 672038369. The next prime is 672038401. The reversal of 672038400 is 4830276.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×672038400² = 903271222149120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672038401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15628779 + ... + 15628821.

Almost surely, 2^672038400 is an apocalyptic number.

672038400 is a gapful number since it is divisible by the number (60) 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 672038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272579264).

672038400 is an abundant number, since it is smaller than the sum of its proper divisors (1873120128).

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

672038400 is a wasteful number, since it uses less digits than its factorization.

672038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 672038400 is about 25923.7034391308. The cubic root of 672038400 is about 875.9205115422.

Adding to 672038400 its reverse (4830276), we get a palindrome (676868676).

The spelling of 672038400 in words is "six hundred seventy-two million, thirty-eight thousand, four hundred".