155624800 has 72 divisors (see below), whose sum is σ = 402302376. Its totient is φ = 58583040.

The previous prime is 155624797. The next prime is 155624803. The reversal of 155624800 is 8426551.

It is an interprime number because it is at equal distance from previous prime (155624797) and next prime (155624803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155624803) 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 11 ways as a sum of consecutive naturals, for example, 7879 + ... + 19321.

It is an arithmetic number, because the mean of its divisors is an integer number (5587533).

Almost surely, 2^155624800 is an apocalyptic number.

155624800 is a gapful number since it is divisible by the number (10) 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 155624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201151188).

155624800 is an abundant number, since it is smaller than the sum of its proper divisors (246677576).

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

155624800 is a wasteful number, since it uses less digits than its factorization.

155624800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11480 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 155624800 is about 12474.9669338239. The cubic root of 155624800 is about 537.8893375299.

The spelling of 155624800 in words is "one hundred fifty-five million, six hundred twenty-four thousand, eight hundred".