61957500 has 120 divisors (see below), whose sum is σ = 197336832. Its totient is φ = 15000000.

The previous prime is 61957471. The next prime is 61957529. The reversal of 61957500 is 575916.

It is an interprime number because it is at equal distance from previous prime (61957471) and next prime (61957529).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82125 + ... + 82875.

Almost surely, 2^61957500 is an apocalyptic number.

61957500 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 61957500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98668416).

61957500 is an abundant number, since it is smaller than the sum of its proper divisors (135379332).

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

61957500 is a wasteful number, since it uses less digits than its factorization.

61957500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 61957500 is about 7871.3086586666. The cubic root of 61957500 is about 395.6987046007.

It can be divided in two parts, 6195 and 7500, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 61957500 in words is "sixty-one million, nine hundred fifty-seven thousand, five hundred".