66152400 has 60 divisors (see below), whose sum is σ = 211912032. Its totient is φ = 17640320.

The previous prime is 66152399. The next prime is 66152413. The reversal of 66152400 is 425166.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×66152400² = 8752280051520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26364 + ... + 28763.

Almost surely, 2^66152400 is an apocalyptic number.

66152400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66152400 is an abundant number, since it is smaller than the sum of its proper divisors (145759632).

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

66152400 is a wasteful number, since it uses less digits than its factorization.

66152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55148 (or 55137 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 66152400 is about 8133.4125679201. The cubic root of 66152400 is about 404.4348159721.

Adding to 66152400 its reverse (425166), we get a palindrome (66577566).

The spelling of 66152400 in words is "sixty-six million, one hundred fifty-two thousand, four hundred".