61001400 has 96 divisors (see below), whose sum is σ = 199094400. Its totient is φ = 15408000.

The previous prime is 61001383. The next prime is 61001407. The reversal of 61001400 is 410016.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61001407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8725 + ... + 14075.

It is an arithmetic number, because the mean of its divisors is an integer number (2073900).

Almost surely, 2^61001400 is an apocalyptic number.

61001400 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 61001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99547200).

61001400 is an abundant number, since it is smaller than the sum of its proper divisors (138093000).

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

61001400 is a wasteful number, since it uses less digits than its factorization.

61001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5389 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 61001400 is about 7810.3393012084. The cubic root of 61001400 is about 393.6527298151.

Adding to 61001400 its reverse (410016), we get a palindrome (61411416).

The spelling of 61001400 in words is "sixty-one million, one thousand, four hundred".