61538400 has 576 divisors, whose sum is σ = 284981760. Its totient is φ = 12441600.

The previous prime is 61538381. The next prime is 61538413. The reversal of 61538400 is 483516.

61538400 is a `hidden beast` number, since 615 + 3 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1663182 + ... + 1663218.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^61538400 is an apocalyptic number.

61538400 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 61538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

61538400 is an abundant number, since it is smaller than the sum of its proper divisors (223443360).

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

61538400 is a wasteful number, since it uses less digits than its factorization.

61538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61538400 is about 7844.6414832037. The cubic root of 61538400 is about 394.8044751481.

The spelling of 61538400 in words is "sixty-one million, five hundred thirty-eight thousand, four hundred".