61954600 has 48 divisors (see below), whose sum is σ = 146106720. Its totient is φ = 24427200.

The previous prime is 61954561. The next prime is 61954609. The reversal of 61954600 is 645916.

It is a super-2 number, since 2×61954600² = 7676744922320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61954609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12019 + ... + 16381.

It is an arithmetic number, because the mean of its divisors is an integer number (3043890).

Almost surely, 2^61954600 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 61954600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73053360).

61954600 is an abundant number, since it is smaller than the sum of its proper divisors (84152120).

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

61954600 is a wasteful number, since it uses less digits than its factorization.

61954600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 61954600 is about 7871.1244431784. The cubic root of 61954600 is about 395.6925307765.

The spelling of 61954600 in words is "sixty-one million, nine hundred fifty-four thousand, six hundred".