60942400 has 84 divisors (see below), whose sum is σ = 153779220. Its totient is φ = 23756800.

The previous prime is 60942391. The next prime is 60942451. The reversal of 60942400 is 424906.

60942400 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 6 ways, for example, as 28132416 + 32809984 = 5304^2 + 5728^2 .

It is a super-2 number, since 2×60942400² = 7427952235520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65136 + ... + 66064.

It is an arithmetic number, because the mean of its divisors is an integer number (1830705).

Almost surely, 2^60942400 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 60942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76889610).

60942400 is an abundant number, since it is smaller than the sum of its proper divisors (92836820).

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

60942400 is a wasteful number, since it uses less digits than its factorization.

60942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 60942400 is about 7806.5613428705. The cubic root of 60942400 is about 393.5257764287.

The spelling of 60942400 in words is "sixty million, nine hundred forty-two thousand, four hundred".