61052400 has 120 divisors (see below), whose sum is σ = 217339760. Its totient is φ = 16277760.

The previous prime is 61052371. The next prime is 61052417. The reversal of 61052400 is 425016.

Added to its reverse (425016) it gives a triangular number (61477416 = T₁₁₀₈₈).

It is a happy number.

61052400 is a `hidden beast` number, since 610 + 52 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7974 + ... + 13626.

Almost surely, 2^61052400 is an apocalyptic number.

61052400 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 61052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108669880).

61052400 is an abundant number, since it is smaller than the sum of its proper divisors (156287360).

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

61052400 is a wasteful number, since it uses less digits than its factorization.

61052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 61052400 is about 7813.6035220633. The cubic root of 61052400 is about 393.7624032374.

Adding to 61052400 its reverse (425016), we get a palindrome (61477416).

The spelling of 61052400 in words is "sixty-one million, fifty-two thousand, four hundred".