61401600 has 360 divisors, whose sum is σ = 242414172. Its totient is φ = 14745600.

The previous prime is 61401589. The next prime is 61401623. The reversal of 61401600 is 610416.

61401600 is a `hidden beast` number, since 61 + 4 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1679616 + 59721984 = 1296^2 + 7728^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1497580 + ... + 1497620.

Almost surely, 2^61401600 is an apocalyptic number.

61401600 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 61401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121207086).

61401600 is an abundant number, since it is smaller than the sum of its proper divisors (181012572).

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

61401600 is a wasteful number, since it uses less digits than its factorization.

61401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61401600 is about 7835.9173043110. The cubic root of 61401600 is about 394.5117076913.

It can be divided in two parts, 61401 and 600, that added together give a square (62001 = 249²).

The spelling of 61401600 in words is "sixty-one million, four hundred one thousand, six hundred".