61612400 has 120 divisors (see below), whose sum is σ = 159510624. Its totient is φ = 22809600.

The previous prime is 61612391. The next prime is 61612427. The reversal of 61612400 is 421616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 340310 + ... + 340490.

Almost surely, 2^61612400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79755312).

61612400 is an abundant number, since it is smaller than the sum of its proper divisors (97898224).

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

61612400 is a wasteful number, since it uses less digits than its factorization.

61612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 61612400 is about 7849.3566615360. The cubic root of 61612400 is about 394.9626627102.

The spelling of 61612400 in words is "sixty-one million, six hundred twelve thousand, four hundred".