61916400 has 540 divisors, whose sum is σ = 279143592. Its totient is φ = 13063680.

The previous prime is 61916381. The next prime is 61916411. The reversal of 61916400 is 461916.

61916400 is a `hidden beast` number, since 6 + 19 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 107 ways as a sum of consecutive naturals, for example, 4762794 + ... + 4762806.

Almost surely, 2^61916400 is an apocalyptic number.

61916400 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 61916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139571796).

61916400 is an abundant number, since it is smaller than the sum of its proper divisors (217227192).

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

61916400 is a wasteful number, since it uses less digits than its factorization.

61916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61916400 is about 7868.6974779820. The cubic root of 61916400 is about 395.6111886196.

The spelling of 61916400 in words is "sixty-one million, nine hundred sixteen thousand, four hundred".